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Algebraic groups. (English) Zbl 0573.20044

Translation from Itogi Nauki Tekh., Ser. Algebra Topologiya Geom. 21, 80- 134 (Russian) (1983; Zbl 0564.20023).

MSC:

20G15 Linear algebraic groups over arbitrary fields
20G10 Cohomology theory for linear algebraic groups
20-02 Research exposition (monographs, survey articles) pertaining to group theory

Citations:

Zbl 0564.20023
Full Text: DOI

References:

[1] O. M. Adamovich, ”Equidimensional representations of simple algebraic groups,” in: Geometrical Methods in Problems of Algebra and Analysis [in Russian], Yaroslavl (1980), pp. 120–125.
[2] A. V. Alekseevskii, ”Groups of components of centralizers of unipotent elements in semisimple algebraic groups,” Tr. Tbilis. Mat. Inst. Akad. Nauk GruzSSR,62, 5–27 (1979).
[3] M. I. Bashmakov and A. L. Chistov, ”On the rationality of a certain class of tori,” Tr. Mat. Inst. Akad. Nauk SSSR,148, 27–29 (1978). · Zbl 0453.14009
[4] I. N. Bernshtein, I. M. Gel’fand, and S. I. Gel’fand, ”A new model of the representations of finite semisimple algebraic groups,” Usp. Mat. Nauk,29, No. 3, 185–186 (1974).
[5] A. A. Bondarenko, ”On the problem of the maximality of arithmetic subgroups in orthogonal groups of type Bn,” Mat. Zametki,16, No. 1, 151–161 (1974).
[6] A. A. Bondarenko, ”On the classification of maximal arithmetic subgroups in orthogonal groups of type (DZ),” Dokl. Akad. Nauk BSSR,.18, No. 9, 773–776 (1974). · Zbl 0314.20033
[7] A. A. Bondarenko, ”Classification of maximal arithmetic subgroups in orthogonal groups of type (DZ),” Dokl. Akad. Nauk BSSR,19, No. 11, 969–972 (1975). · Zbl 0324.10016
[8] A. A. Bondarenko, ”On the classification of maximal arithmetic subgroups in split groups,” Mat. Sb.,102, No. 2, 155–172 (1977). · Zbl 0375.20031
[9] A. A. Bondarenko, ”Class numbers and class groups of semisimple indefinite algebraic groups in canonical realizations,” Dokl. Akad. Nauk BSSR,25, No. 9, 773–776 (1981). · Zbl 0473.20034
[10] A. A. Bondarenko and A. S. Rapinchuk, ”Estimate of the number of double cosets of adele groups of algebraic groups,” Dokl. Akad. Nauk BSSR,22, No. 5, 397–400 (1978). · Zbl 0393.20031
[11] I. B. Brodskii, ”Invariants of unipotent groups,” Usp. Mat. Nauk,31, No. 1, 243–244 (1976).
[12] é. B. Vinberg, ”Linear groups connected with periodic automorphisms of semisimple algebraic groups,” Dokl. Akad. Nauk SSSR,221, No. 4, 767–770 (1975).
[13] é. B. Vinberg, ”The closure of an orbit of a reductive linear group,” in: Algebra [in Russian], Moscow (1980), pp. 31–36. · Zbl 0475.20032
[14] é. B. Vinberg, ”Rationality of the field of invariants of a triangular group,” Vestn. Mosk. Gos. Univ. Mat. Mekh., No. 2, 23–24 (1982). · Zbl 0493.14005
[15] V. E. Voskresenskii, ”Weak approximation in algebraic groups,” in: Studies in Number Theory [in Russian], No. 4, Saratov Univ. (1972), pp. 3–7. · Zbl 0251.14008
[16] V. E. Voskresenskii, ”Stable equivalence of algebraic tori,” Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 1, 3–10 (1974). · Zbl 0296.14010
[17] V. E. Voskresenskii, ”Some questions in the birational geometry of algebraic tori,” in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, Vol. 1, Sec. 1 (1975), pp. 343–347.
[18] V. E. Voskresenskii, ”Birational invariants of algebraic tori,” Usp. Mat. Nauk,30, No. 2, 207–208 (1975). · Zbl 0351.14006
[19] V. E. Voskresenskii, ”Picard modules of projective models of algebraic tori,” in: Studies in Number Theory [in Russian], No. 5, Saratov Univ. (1975), pp. 14–21.
[20] V. E. Voskresenskii, ”Picard modules of projective models of algebraic tori II,” in: Studies in Number Theory [in Russian], No. 6, Saratov Univ. (1975), pp. 18–33.
[21] V. E. Voskresenskii, ”Remarks on my paper ’Stable equivalence of algebraic tori’,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 1, 230 (1977). · Zbl 0379.14001
[22] V. E. Voskresenskii, Algebraic Tori [in Russian], Nauka, Moscow (1977).
[23] V. E. Voskresenskii, ”The reduced Whitehead group of a simple algebra,” Usp. Mat. Nauk,32, No. 6, 247–248 (1977). · Zbl 0379.16005
[24] V. E. Voskresenskii, ”Questions of R-equivalence of semisimple groups,” J. Sov. Math.,17, No. 4 (1981).
[25] V. E. Voskresenskii, ”On the rationality of algebraic tori,” in: Studies in Number Theory [in Russian], No. 7, Saratov Univ. (1978), pp. 10–19.
[26] V. E. Voskresenskii, ”Projective models of algebraic tori,” in: Seminar on the Arithmetic of Algebraic Varieties [in Russian], Saratov (1979), pp. 4–7.
[27] V. E. Voskresenskii, ”Integral lattices in algebraic tori and class groups of number fields,” in: Seminar on the Arithmetic of Algebraic Varieties [in Russian], Saratov (1979), pp. 8–15.
[28] V. E. Voskresenskii, ”Linear representations of the multiplicative group of a field,” J. Sov. Math.,24, No. 4 (1984).
[29] V. E. Voskresenskii, ”Projective invariants of the Demazure model,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 2, 195–210 (1982).
[30] O. M. Grindlinger, ”An interpretation of exceptional simple Lie groups and their parabolic subgroups,” in: Algorithmic Problems in the Theory of Groups and Semigroups [in Russian], Tula (1981), pp. 95–102.
[31] J. Dieudonne, J. Carrell, and D. Mumford, Geometric Invariant Theory [Russian translation], Mir, Moscow (1974).
[32] Yu. L. Ershov, ”Normalization of division rings and the group SK1,” Dokl. Akad. Nauk SSSR,239, No. 4, 768–771 (1978). · Zbl 0371.16010
[33] I. K. Zhuk, ”Rationality of some homogeneous spaces of the group SO(q),” Dokl. Akad. Nauk BSSR,26, No. 9, 773–775 (1982). · Zbl 0523.14031
[34] A. E. Zalesskii, ”Semisimple root elements of algebraic groups,” Inst. Mat. Akad. Nauk BSSR Prepr., No. 13 (1980).
[35] A. E. Zalesskii, ”Linear groups,” Usp. Mat. Nauk,36, No. 5, 57–107 (1981).
[36] V. G. Kats, ”On the question of describing the orbit space of linear algebraic groups,” Usp. Mat. Nauk,30, No. 6, 173–174 (1975).
[37] V. G. Kats, ”Classification of simple algebraic supergroups,” Usp. Mat. Nauk,32, No. 3, 214–215 (1977).
[38] A. A. Klyachko, ”On the rationality of algebraic tori,” in: Studies in Number Theory [in Russian], No. 5, Saratov Univ. (1975), pp. 93–96.
[39] A. A. Klyachko, ”Demazure models for a special class of tori,” in: Seminar on the Arithmetic of Algebraic Varieties [in Russian], Saratov (1979), pp. 32–37.
[40] A. Kryuchkov, ”Arithmetic invariants of a class of algebraic tori,” Izv. Akad. Nauk éstSSR. Fiz., Mat.,26, No. 1, 9–12 (1977).
[41] B. é. Kunyavskii, ”Tori with biquadratic splitting field,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 3, 580–587 (1978).
[42] B. é. Kunyavskii, ”Birational classification of tori of small dimension,” in: Seminar on the Arithmetic of Algebraic Varieties [in Russian], Saratov (1979), pp. 37–42.
[43] B. E. Kunyavskii, ”Resolutions for character modules of algebraic tori,” in: Approximate Methods of Mathematical Physics [in Russian], Saratov (1980), pp. 88–92.
[44] B. é. Kunyavskii, ”Birational and arithmetic properties of three-dimensional tori,” Kuibyshev Univ. (1981); VINITI No. 4746-81.
[45] V. A. Lipnitskii, ”On the Tannaka-Artin problem over special fields,” Dokl. Akad. Nauk SSSR,228, No. 1, 26–29 (1976).
[46] G. A. Margulis, ”Arithmeticity and finite-dimensional representations of uniform lattices,” Funkts. Anal. Prilozhen.,8, No. 3, 77–78 (1974). · Zbl 0298.57019 · doi:10.1007/BF02028317
[47] G. A. Margulis, ”Arithmeticity of nonuniform lattices in weakly noncompact groups,” Funkts. Anal. Prilozhen.,9, No. 1, 35–44 (1975). · Zbl 0316.22008
[48] G. A. Margulis, ”Discrete groups of motions of varieties with nonpositive curvature,” in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, Vol. 2, Sec. 1 (1975), pp. 21–34.
[49] G. A. Margulis, ”Cobounded subgroups of algebraic groups over local fields,” Funkts. Anal. Prilozhen.,11, No. 2, 45–57 (1977). · Zbl 0369.58005 · doi:10.1007/BF01135531
[50] G. A. Margulis, ”Factor groups of discrete subgroups and measure theory,” Funkts. Anal. Prilozhen.,12, No. 4, 64–80 (1978).
[51] G. A. Margulis, ”Finiteness of factor groups of discrete subgroups,” Funkts. Anal. Prilozhen.,13, No. 3, 28–39 (1979). · Zbl 0423.22015
[52] G. A. Margulis, ”The multiplicative group of the quaternion algebra over a global field,” Dokl. Akad. Nauk SSSR,252, No. 3, 542–546 (1980).
[53] G. A. Matveev, ”The genus of elements of orthogonal groups,” Mat. Zametki,13, No. 5, 695–702 (1973).
[54] G. V. Matveev, ”The genus of elements of unitary groups,” Dokl. Akad. Nauk BSSR,18, No. 5, 391–393 (1974).
[55] G. V. Matveev, ”The Hasse principle for lattices in a full matrix algebra,” Mat. Zametki,30, No. 6, 801–805 (1981). · Zbl 0475.12008
[56] O. V. Mel’nikov, ”The congruence kernel of the group SL2(Z),” Dokl. Akad. Nauk SSSR,228, No. 5, 1034–1036 (1976).
[57] Yu. I. Merzlyakov, Rational Groups [in Russian], Nauka, Moscow (1980). · Zbl 0518.20032
[58] M. V. Milovanov, ”Definability of solvable algebraic groups by dense integral sub-groups,” Mat. Zametki,18, No. 5, 719–730 (1975).
[59] E. A. Nisnevich, ”Non-Abelian cohomology and a finiteness theorem for integral orbits of semisimple group schemes,” Usp. Mat. Nauk,29, No. 3, 219–220 (1974). · Zbl 0328.14018
[60] E. A. Nisnevich, ”Finiteness theorems for the decomposition of integral orbits of algebraic groups,” Dokl. Akad. Nauk BSSR,18, No. 9, 777–780 (1974). · Zbl 0328.14016
[61] E. A. Nisnevich, ”Etale cohomology, the T-genus, and integral orbits of affine group schemes,” Usp. Mat. Nauk,30, No. 3, 167–168 (1975). · Zbl 0335.14009
[62] E. A. Nisnevich, ”Non-Abelian cohomology and finiteness theorems for integral orbits of affine group schemes,” Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 4, 773–795 (1975). · Zbl 0328.14017
[63] E. A. Nisnevich, ”Affine homogeneous spaces and finite subgroups of arithmetic groups over functional fields,” Funkts. Anal. Prilozhen.,11, No. 1, 73–74 (1977). · Zbl 0365.20049
[64] G. A. Noskov, ”Algebraic groups with regular groups of automorphisms,” Mat. Sb.,103, No. 3, 358–366 (1977).
[65] A. L. Onishchik, ”On a class of subgroups of simple algebraic groups,” in: Questions in Group Theory and Homological Algebra [in Russian], Yaroslavl (1981), pp. 93–103.
[66] A. L. Onishchik, ”Inclusions among transitive algebraic groups,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 2, 28–35 (1982). · Zbl 0522.14021
[67] D. I. Panyushev, ”Orbit spaces of finite and connected linear groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 1, 95–99 (1982).
[68] V. P. Platonov, ”Algebraic groups,” in: Algebra. Topology. Geometry [in Russian], Vol. 11 (Itogi Nauki i Tekhniki, VINITI Akad. Nauk SSSR), Moscow (1974), pp. 5–36.
[69] V. P. Platonov, ”Dieudonné’s conjecture and nonsurjectivity of covers of algebraic groups on the k-points,” Dokl. Akad. Nauk SSSR,216, No. 5, 986–989 (1974).
[70] V. P. Platonov, ”Arithmetical and structural problems in linear algebraic groups,” in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, Vol. 1, Sec. 1 (1975), pp. 471–476.
[71] V. P. Platonov, ”On the Tannaka-Artin problem,” Dokl. Akad. Nauk SSSR,221, No. 5, 1038–1041 (1975). · Zbl 0333.20032
[72] V. P. Platonov, ”The Tannaka-Artin problem and groups of projective conorms,” Dokl. Akad. Nauk SSSR,222, No. 6, 1299–1302 (1975). · Zbl 0338.16004
[73] V. P. Platonov, ”The Tannaka-Artin problem and reduced K-theory,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 2, 227–261 (1976). · Zbl 0338.16005
[74] V. P. Platonov, ”Remarks on my paper ’The Tannaka-Artin problem and reduced K-theory’,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 5, 1198 (1976).
[75] V. P. Platonov, ”Approximation in algebraic groups over arbitrary fields,” Dokl. Akad. Nauk SSSR,229, No. 4, 804–807 (1976).
[76] V. P. Platonov, ”Reduced K-theory and approximation in algebraic groups,” Tr. Mat. Inst. Akad. Nauk SSSR,142, 198–207 (1976).
[77] V. P. Platonov, ”On the infiniteness of the reduced Whitehead group,” Dokl. Akad. Nauk SSSR,227, No. 2, 299–301 (1976). · Zbl 0362.16009
[78] V. P. Platonov, ”Infiniteness of the reduced Whitehead group in the Tannaka-Artin problem,” Mat. Sb.,100, No. 2, 191–200 (1976). · Zbl 0352.16009
[79] V. P. Platonov, ”Birational properties of the reduced Whitehead group,” Dokl. Akad. Nauk BSSR,21, No. 3, 197–198 (1977). · Zbl 0791.20045
[80] V. P. Platonov, ”On the problem of the rationality of spinorial varieties,” Dokl. Akad. Nauk SSSR,248, No. 3, 524–527 (1979).
[81] V. P. Platonov, ”Birational properties of spinorial varieties,” Tr. Mat. Inst. Akad. Nauk SSSR,157, 161–169 (1981). · Zbl 0496.14008
[82] V. P. Platonov, ”Arithmetic theory of algebraic groups,” Usp. Mat. Nauk,37, No. 3, 3–54 (1982). · Zbl 0502.20025
[83] V. P. Platonov, A. A. Bondarenko, and A. S. Rapinchuk, ”Class numbers of algebraic groups,” Dokl. Akad. Nauk SSSR,245, No. 1, 28–31 (1979). · Zbl 0425.20038
[84] V. P. Platonov, A. A. Bondarenko, and A. S. Rapinchuk, ”Class numbers and class groups of algebraic groups. I,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 3, 603–627 (1979). · Zbl 0425.20038
[85] V. P. Platonov, A. A. Bondarenko, and A. S. Rapinchuk, ”Class numbers and class groups of algebraic groups. II,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 2, 395–414 (1980). · Zbl 0453.20033
[86] V. P. Platonov and M. V. Milovanov, ”Definability of algebraic groups by arithmetic subgroups,” Dokl. Akad. Nauk SSSR,209, No. 1, 43–46 (1973). · Zbl 0312.20024
[87] V. P. Platonov and A. S. Rapinchuk, ”The group of rational points of three-dimensional groups,” Dokl. Akad. Nauk SSSR,247, No. 2, 279–282 (1979). · Zbl 0431.12012
[88] V. P. Platonov and A. S. Rapinchuk, ”The multiplicative structure of division rings over number fields and the Hasse principle,” Dokl. Akad. Nauk SSSR,266, No. 3, 560–564 (1982). · Zbl 0516.20029
[89] V. P. Platonov and V. I. Chernousov, ”On the rationality of canonical spinorial varieties,” Dokl. Akad. Nauk SSSR,252. No. 4, 796–800 (1980). · Zbl 0486.14013
[90] V. P. Platonov and V. I. Yanchevskii, ”On Harder’s conjecture,” Dokl. Akad. Nauk SSSR,221, No. 4, 784–787 (1975). · Zbl 0333.20035
[91] V. P. Platonov and V. I. Yanchevskii, ”On the Kneser-Tits conjecture for unitary groups,” Dokl. Akad. Nauk SSSR,225, No. 1, 48–51 (1975). · Zbl 0343.16016
[92] V. L. Popov, ”Picard groups of homogeneous spaces of linear algebraic groups and onedimensional homogeneous vector bundles,” Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 2, 294–322 (1974).
[93] V. L. Popov, ”Classification of three-dimensional affine algebraic varieties that are quasihomogeneous relative to an algebraic group,” Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 3, 566–609 (1975).
[94] V. L. Popov, ”Representations with a free module of covariants,” Funkts. Anal. Prilozhen.,10, No. 3, 91–92 (1976).
[95] V. L. Popov, ”Constructive invariant theory,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 5, 1100–1120 (1981). · Zbl 0478.14006
[96] M. Raghunathan, Discrete Subgroups of Lie Groups, Springer-Verlag, Berlin (1972). · Zbl 0254.22005
[97] A. S. Rapinchuk, ”On Platonov’s conjecture concerning the genus in arithmetic groups,” Dokl. Akad. Nauk BSSR,25, No. 2, 101–104 (1981). · Zbl 0477.20027
[98] A. S. Rapinchuk, ”Numbers of classes in a genus of quadratic forms and algebraic groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 4, 775–792 (1981). · Zbl 0473.20032
[99] R. A. Sarkisyan, ”Algorithmic questions for linear algebraic groups. I,” Mat. Sb.,113, No. 2, 179–216 (1980). · Zbl 0446.20025
[100] R. A. Sarkisyan, ”Algorithmic questions for linear algebraic groups. II,” Mat. Sb.,113, No. 3, 400–436 (1980). · Zbl 0459.20037
[101] R. A. Sarkisyan, ”On an equality problem for Galois cohomology,” Algebra Logika,19, No. 6, 707–725 (1980). · Zbl 0484.20018 · doi:10.1007/BF01669331
[102] Seminar on Algebraic Groups [Russian translation], Mir, Moscow (1973).
[103] Seminar on the Arithmetic of Algebraic Varieties [in Russian], Saratov Univ. (1979). · Zbl 0528.00003
[104] J.-P. Serre, ”Arbres, amalgames, SL2,” (Translation: Trees, Springer-Verlag, Berlin 105. (1980).
[105] J.-P. Serre, ”Cohomology of discrete groups,” in: Prospects in Mathematics (Proc.
[106] Sympos. Princeton Univ., 1970), Annals of Mathematics Studies No. 70, Princeton Univ. Press, Princeton, N. J. (1971), pp. 77–169; see also Lecture Notes in Mathematics, Vol. 244, Springer-Verlag, Berlin (1971).
[107] T. Springer, Invariant Theory, Lecture Notes in Mathematics, Vol. 585, Springer-Verlag, Berlin (1977). · Zbl 0346.20020
[108] R. Steinberg, Lectures on Chevalley Groups, Yale University Lecture Notes (1967). · Zbl 1361.20003
[109] T. Yu. Sysoeva, ”Reductive linear algebraic groups generated by quasi-reflections,” Serdika. B”lg. Mat. Spisanie,1, Nos. 3–4, 337–345 (1975(1976)). · Zbl 0441.20029
[110] G. M. Tomanov, ”The Frattini subgroup of algebraic groups,” Dokl. Akad. Nauk BSSR,23, No. 3, 205–208 (1979). · Zbl 0461.20024
[111] G. M. Tomanov, ”The Frattini subgroup and normal subgroups of algebraic groups,” Dokl. Akad. Nauk BSSR,25, No. 6 (1981). · Zbl 0461.20025
[112] G. M. Tomanov, ”Generalized group identities in linear groups,” Dokl. Akad. Nauk BSSR,26, No. 1, 9–12 (1982). · Zbl 0478.20030
[113] J. Humphreys, Linear Algebraic Groups, Springer-Verlag, New York (1975). · Zbl 0325.20039
[114] G. Harder, ”A Gauss-Bonnet formula for discrete arithmetically defined groups,” Ann. Sci. école Norm. Sup. (4),4, 409–455 (1971). · Zbl 0232.20088 · doi:10.24033/asens.1217
[115] V. I. Cherusov, ”On the rationality of spinorial varieties over the field of rational numbers,” Dokl. Akad. Nauk BSSR,25, No. 4, 293–296 (1981).
[116] A. L. Chistov, ”On the birational equivalence of tori with cyclic splitting field,” J. Sov. Math.,17, No. 2 (1981). · Zbl 0462.14005
[117] A. L. Chistov, ”On the number of generators of the semigroup of classes of algebraic tori under stable equivalence,” Dokl. Akad. Nauk SSSR,242, No. 5, 1027–1029 (1978).
[118] A. A. Sharomet, ”Abstract isomorphisms of solvable algebraic groups,” Dokl. Akad. Nauk SSSR,223, No. 1, 53–55 (1975).
[119] A. A. Sharomet, ”Groups of automorphisms of algebraic groups,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 3, 5–11 (1976).
[120] I. R. Shafarevich, ”On some infinite-dimensional groups. II,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 1, 214–226 (1981). · Zbl 0475.14036
[121] M. T. él’baradi, ”Extensions of algebraic groups that are transitive on projective varieties,” Usp. Mat. Nauk.,35, No. 2, 229–230 (1980). · Zbl 0439.20028
[122] V. I. Yanchevskii, ”Reduced unitary K-theory,” Dokl. Akad. Nauk SSSR,229, No. 6, 1332–1334 (1976). · Zbl 0343.16017
[123] V. I. Yanchevskii, ”Reduced unitary K-theory and division rings over Henselian discretely valued fields,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 4, 879–918 (1978). · Zbl 0389.20035
[124] V. I. Yanchevskii, ”Reduced unitary K-theory. Applications to algebraic groups,” Mat. Sb.,110, No. 4, 579–596 (1979).
[125] E. Abe, ”A generalization of groups with a root data and coverings of the groups,” Tsukuba J. Math.,1, 7–26 (1977). · Zbl 0391.20037 · doi:10.21099/tkbjm/1496158376
[126] E. Abe, ”Coverings of twisted Chevalley groups over commutative rings,” Sci. Repts. Tokyo Kyoiku Daigaku,A13, Nos. 366–382, 194–218 (1977). · Zbl 0353.20036
[127] Algebraische Gruppen, Tagungsber. Math. Forschungsinst. Oberwolfach, No. 25 (1976), pp. 1–14.
[128] N. D. Allan, ”A note on the arithmetic of the orthogonal group,” Rev. Colomb. Mat.,7, No. 2, 53–66 (1973). · Zbl 0288.20048
[129] N. D. Allan, ”A note on the arithmetic of the orthogonal group. II,” Port. Math.,33, Nos. 3–4, 193–197 (1974). · Zbl 0293.20037
[130] P. P. Andre, ”k-Regular elements in semisimple algebraic groups,” Trans. Am. Math. Soc.,201, Jan., 105–124 (1975). · Zbl 0302.20038
[131] N. H. Ann, ”Prehomogeneous vector space defined by a semisimple algebraic group,” Bull. Am. Math. Soc.,81, No. 2, 402–406 (1975). · Zbl 0317.20027 · doi:10.1090/S0002-9904-1975-13757-8
[132] Arbeitsgemeinschaft über Kohomologie Arithmetischer Gruppen, Tagunsber. Math. Forschungsinst. Oberwolfach, No. 44 (1980), pp. 1–7.
[133] A. Ash, ”Cohomology of congruence subgroups of SL(n, Z),” Math. Ann.,249, No. 1, 55–73 (1980). · Zbl 0438.20035 · doi:10.1007/BF01387080
[134] A. Bak, ”Le problème des sous-groupes de congruence et le problème métaplectique pour les groupes classiques de rang >1,” C. R. Acad. Sci., Ser. 1,292, No. 5, 307–310 (1981). · Zbl 0461.20031
[135] A. Bak. and U. Rehmann, ”Le problème de sous-groupes de congruence dans SLn sur un corps gauche,” C. R. Acad. Sci.,AB289, No. 3, A151 (1979). · Zbl 0423.20045
[136] P. Bala and R. W. Carter, ”The classification of unipotent and nilpotent elements,” Indag. Math.,36, No. 1, 94–97 (1974). · Zbl 0292.20046 · doi:10.1016/1385-7258(74)90019-5
[137] P. Bala and R. W. Carter, ”Classes of unipotent elements in simple algebraic groups. I,” Math. Proc. Cambridge Phil. Soc.,79, No. 3, 401–425 (1976). · Zbl 0364.22006 · doi:10.1017/S0305004100052403
[138] P. Bala and R. W. Carter, ”Classes of unipotent elements in simple algebraic groups. II,” Proc. Cambridge Phil. Soc.,80, No. 1, 1–18 (1976). · Zbl 0364.22007 · doi:10.1017/S0305004100052610
[139] J. W. Ballard, ”Some generalized characters of finite Chevalley groups,” Math. Z.,147, No. 2, 163–174 (1976). · Zbl 0306.20047 · doi:10.1007/BF01164280
[140] H.-J. Bartels, ”Zur Galoiskohomologie definiter arithmetischer Gruppen,” J. Reine Angew. Math.,298, 89–97 (1978). · Zbl 0368.20027
[141] H.-J. Bartels, ”Definite arithmetische Gruppen,” J. Reine Angew. Math.,301, 27–29 (1978). · Zbl 0376.12004
[142] H.-J. Bartels, ”Zur Arithmetik von Konjugationsklassen in algebraischen Gruppen,” J. Algebra,70, No. 1, 179–199 (1981). · Zbl 0471.20032 · doi:10.1016/0021-8693(81)90252-0
[143] H.-J. Bartels and Y. Kitaoka, ”Endliche arithmetische Untergruppen der GLn,” J. Reine Angew. Math.,313, 151–156 (1980). · Zbl 0416.20038
[144] H. Behr, ”Explizite PrÄsentation von Chevalleygruppen über Z,” Math. Z.,141, No. 3, 235–241 (1975). · Zbl 0286.20056 · doi:10.1007/BF01247309
[145] H. Behr, ”SL3(Fq[t]) is not finitely presentable,” in: London Math. Soc. Lecture Note Series, No. 36 (1979), pp. 213–224.
[146] G. Besson, ”Groupes Lie p-adique, immeuble et cohomologie,” in: Lecture Notes in Mathematics, Vol. 867, Springer-Verlag (1981), pp. 130–140. · Zbl 0466.22011
[147] A. Bialynicki-Birula, ”Some theorems on actions of algebraic groups,” Ann. Math.,98, No. 3, 480–497 (1973). · Zbl 0275.14007 · doi:10.2307/1970915
[148] A. Bialynicki-Birula, ”On fixed points of torus actions on projective varieties,” Bull. Scad. Pol. Sci. Sér. Sci. Math. Astron. Phys.,22, No. 11, 1097–1101 (1974). · Zbl 0316.14017
[149] A. Bialynicki-Birula, ”Some properties of the decompositions of algebraic varieties determined by actions of torus,” Bull. Acad. Pol. Sci. Sér. Sci. Math. Astron. Phys.,24, No. 9, 667–674 (1976). · Zbl 0355.14015
[150] A. Bialynicki-Birula, ”On algebraic action of SL(2),” Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys.,26, No. 4, 293–294 (1978). · Zbl 0412.14003
[151] A. Bialynicki-Birula, ”On action of SL(2) on complete algebraic varieties,” Pac. J. Math.,86, No. 1, 53–58 (1980). · Zbl 0461.14012 · doi:10.2140/pjm.1980.86.53
[152] A. Borel, ”Cohomology of arithmetic groups,” in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, Vol. 1, Sec. 1 (1975), pp. 435–442.
[153] A. Borel, ”Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup,” Invent. Math.,35, 233–259 (1976). · Zbl 0334.22012 · doi:10.1007/BF01390139
[154] A. Borel, ”Cohomologie des sous-groupes discrets et représentations des groupes semisimples,” Astérisque, Nos. 32–33, 73–112 (1976).
[155] A. Borel, ”Stable and L2-cohomology of arithmetic groups,” Bull. Am. Math. Soc.,3, No. 3, 1025–1027 (1980). · Zbl 0472.22002 · doi:10.1090/S0273-0979-1980-14840-5
[156] A. Borel and G. Harder, ”Existence of discrete compact subgroups of reductive groups over local fields,” J. Reine Angew. Math.,298, 53–64 (1978). · Zbl 0385.14014
[157] A. Borel and J.-P. Serre, ”Cohomologie d’immeubles et de groupes S-arithmétiques,” Topology,15, No. 3, 211–232 (1976). · Zbl 0338.20055 · doi:10.1016/0040-9383(76)90037-9
[158] A. Borel and J. Tits, ”Homomorphismes ’abstraits’ de groupes algébriques simples,” Ann. Math.,97, No. 3, 499–571 (1973). · Zbl 0272.14013 · doi:10.2307/1970833
[159] A. Borel and J. Tits, ”Théorèmes de structure et de conjugasion pour les groupes algébriques linéaires,” C. R. Acad. Sci.,AB287, No. 2, A55-A57 (1978).
[160] A. Borel and N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, Annals of Mathematics Studies, No. 94 (1980). · Zbl 0443.22010
[161] W. Borho and H. Kraft, ”über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen,” Comment. Math. Helv.,54, No. 1, 61–104 (1979). · Zbl 0395.14013 · doi:10.1007/BF02566256
[162] J. Britto, ”On defining a subgroup of the special linear group by a congruence,” J. Indian Math. Soc.,40, Nos. 1–4, 235–243 (1976). · Zbl 0437.20038
[163] J. Britto, ”On the construction of noncongruence subgroups,” Acta Arith.,33, No. 3, 261–267 (1977). · Zbl 0361.20048
[164] R. W. Carter, ”Centralizers of semisimple elements in finite groups of Lie type,” Proc. London Math. Soc.,37, No. 3, 491–507 (1978). · Zbl 0408.20031 · doi:10.1112/plms/s3-37.3.491
[165] P. J. Cassidy, ”Differential algebraic groups,” Am. J. Math.,94, No. 3, 891–954 (1972). · Zbl 0258.14013 · doi:10.2307/2373764
[166] P. J. Cassidy, ”The differential rational representation algebra on a linear differential algebraic group,” J. Algebra,37, No. 2, 223–238 (1975). · Zbl 0318.12105 · doi:10.1016/0021-8693(75)90075-7
[167] P. J. Cassidy, ”Unipotent differential algebraic groups,” in: Contributions to Algebra, Academic Press, New York-San Francisco-London (1977), pp. 88–115.
[168] J. S. Chahal, ”Solution of the congruence subgroup problem for solvable algebraic groups,” Nagoya Math. J.,79, 141–144 (1980). · Zbl 0445.20022 · doi:10.1017/S0027763000018985
[169] E. Cline, B. Parshall, and L. Scott, ”Induced modules and affine quotients,” Math. Ann.,230, 1–14 (1977). · Zbl 0378.20033 · doi:10.1007/BF01420572
[170] E. Cline, B. Parshall, and L. Scott, ”Induced modules and extensions of representations,” Invent. Math.,47, No. 1, 41–51 (1978). · Zbl 0399.20039 · doi:10.1007/BF01609478
[171] J.-L. Colliot-Thélène and J.-J. Sansuc, ”Torseurs sous de groupes de type multiplicatif; applications a l’étude des points rationnels de certaines variétés algébriques,” C. R. Acad. Sci., Sér. 1,282, No. 18, 113–1116. · Zbl 0337.14014
[172] J.-L. Colliot-Thélène and J.-J. Sansuc, ”La R-équivalence sur les tores,” Ann. Sci. école Norm. Sup.,10, No. 2, 175–229 (1977). · Zbl 0356.14007 · doi:10.24033/asens.1325
[173] P. Deligne, ”Extensions centrales non résiduellement finies de groupes arithmétiques,” C. R. Acad. Sci.,AB297, No. 4, A203-A208 (1978). · Zbl 0416.20042
[174] P. Deligne and G. Lusztig, ”Representations of reductive groups over finite fields,” Ann. Math.,103, No. 1, 103–161 (1976). · Zbl 0336.20029 · doi:10.2307/1971021
[175] P. Deligne and G. Lusztig, ”Duality for representations of a reductive group over a finite field,” J. Algebra,74, No. 1, 284–291 (1982). · Zbl 0482.20027 · doi:10.1016/0021-8693(82)90023-0
[176] M. Demazure, ”Automorphismes et déformations des variétés de Borel,” Invent. Math.,39, No. 2, 179–180 (1977). · Zbl 0406.14030 · doi:10.1007/BF01390108
[177] V. V. Deodhar, ”On central extensions of rational points of algebraic groups,” Bull. Am. Math. Soc,81, No. 3, Part 1, 573–575 (1975). · Zbl 0306.20041 · doi:10.1090/S0002-9904-1975-13742-6
[178] V. V. Deodhar, ”On central extensions of rational points of algebraic groups,” Am. J. Math.,100, No. 2, 303–386 (1978). · Zbl 0392.20027 · doi:10.2307/2373853
[179] D. I. Deriziotis, ”Centralizers of semisimple elements in a Chevalley group,” Commun. Algebra,9, No. 19, 1997–2014 (1981). · Zbl 0473.20036 · doi:10.1080/00927878108822693
[180] S. Donkin, ”Hopf complements and injective comodules for algebraic groups,” Proc. London Math. Soc,40, No. 2, 298–319 (1980). · Zbl 0442.20033 · doi:10.1112/plms/s3-40.2.298
[181] S. Donkin, ”Blocks of rational representations of a semisimple algebraic groups,” Bull. Am. Math. Soc,3, No. 2, 867–869 (1980). · Zbl 0437.20033 · doi:10.1090/S0273-0979-1980-14834-X
[182] S. Donkin, ”The blocks of a semisimple algebraic group,” J. Algebra,67, No. 1, 36–53 (1980). · Zbl 0458.20036 · doi:10.1016/0021-8693(80)90305-1
[183] J.-C. Douai, ”Cohomologie galoisienne des groupes semisimples definis sur les corps globaux,” C. R. Acad. Sci., Sér. 1,281, No. 24, 1077–1080 (1975). · Zbl 0362.20030
[184] P. Draxl, ”SK1 von Algebren über vollstandig diskret bewerten Körpern und Galoiskohomologie abelscher Körpererweiterungen,” J. Reine Angew. Math.,293–294, 116–142 (1977).
[185] P. Draxl and M. Kneser, ”SK1 von Schiefkörpern,” Lecture Notes in Mathematics, Vol. 778, Springer-Verlag (1980). · Zbl 0426.16022
[186] S.-D. Ekong, ”Sur les automorphismes de certains groupes algébriques affines semisimples,” Publ. Dép. Math.,11, No. 3, 29–38 (1974). · Zbl 0316.20031
[187] S.-D. Ekong, ”Sur les groupes algébriques affines algébriquement complets,” Publ. Dép. Math.,12, No. 2, 71–81 (1975). · Zbl 0345.20051
[188] S.-D. Ekong, ”Some results on automorphisms of affine algebraic groups,” J. Math. Phys.,19, No. 12, 2546–2554 (1978). · Zbl 0432.20041 · doi:10.1063/1.523638
[189] G. B. Elkington, ”Centralizers of unipotent elements in semisimple algebraic groups,” J. Algebra,23, No. 1, 137–163 (1972). · Zbl 0247.20053 · doi:10.1016/0021-8693(72)90052-X
[190] S. Endo and T. Miyata, ”On a classification of the function fields of algebraic tori,” Nagoya Math. J.,56, 85–104 (1975). · Zbl 0301.14008 · doi:10.1017/S0027763000016408
[191] A. Fauntleroy, ”Rational points of commutator subgroups of solvable algebraic groups,” Trans. Am. Math. Soc.,194, 249–275 (1974). · Zbl 0306.20048 · doi:10.1090/S0002-9947-1974-0349860-2
[192] A. Fauntleroy, ”Defining normal subgroups of unipotent algebraic groups,” Proc. Am. Math. Soc.,50, 14–19 (1975). · Zbl 0329.20027 · doi:10.1090/S0002-9939-1975-0409674-8
[193] A. Fauntleroy, ”Automorphism groups of unipotent groups of Chevalley type,” Pac. J. Math.,66, No. 2, 373–390 (1976). · Zbl 0402.20033 · doi:10.2140/pjm.1976.66.373
[194] B. Fine and M. Tretkoff, ”The SQ-universality of certain arithmetically defined linear groups,” J. London Math. Soc,13, No. 1, 65–68 (1976). · Zbl 0333.20025 · doi:10.1112/jlms/s2-13.1.65
[195] E. Formanek and C. Procesi, ”Mumford’s conjecture for the general linear group,” Adv. Math.,19, No. 3, 292–305 (1976). · Zbl 0346.20021 · doi:10.1016/0001-8708(76)90026-8
[196] R. M. Fossum, ”Invariant theory, representation theory, commutative algebra – ménage à trois,” in: Lecture Notes in Mathematics, Vol. 867, Springer-Verlag (1981), pp. 1–37.
[197] P. Gerardin, ”Groupes réductifs et groupes resolubles,” in: Lecture Notes in Mathematics, Vol. 466, Springer-Verlag (1975), pp. 79–85. · Zbl 0318.22017
[198] M. Goto, ”On an integer associated with an algebraic group,” J. Math. Soc. Jpn.,29, No. 1, 161–163 (1977). · Zbl 0342.20023 · doi:10.2969/jmsj/02910161
[199] S. J. Gottlieb, ”Algebraic automorphisms of algebraic groups with stable maximal tori,” Pac. J. Math.,72, No. 2, 461–470 (1977). · Zbl 0384.20035 · doi:10.2140/pjm.1977.72.461
[200] F. Grosshans, ”Observable groups and Hilbert’s fourteenth problem,” Am. J. Math.,95, No. 1, 229–253 (1973). · Zbl 0309.14039 · doi:10.2307/2373655
[201] F. Grosshans, ”Open sets of points with good stabilizers,” Bull. Am. Math. Soc,80, No. 3, 518–521 (1974). · Zbl 0294.14023 · doi:10.1090/S0002-9904-1974-13476-2
[202] F. J. Grünewald and J. Schwermer, ”Free non-Abelian quotients of SL2 over orders of imaginary quadratic number fields,” J. Algebra,69, No. 2, 298–304 (1981). · Zbl 0461.20026 · doi:10.1016/0021-8693(81)90206-4
[203] F. J. Grünewald and J. Schwermer, ”A nonvanishing theorem for the cuspidal cohomology of SL2 over imaginary quadratic integers,” Math. Ann.,258, No. 2, 183–200 (1981). · Zbl 0458.20041 · doi:10.1007/BF01450534
[204] F. J. Grünewald and D. Segal, ”A note on arithmetic groups,” Bull. London Math. Soc.,10, No. 3, 297–302 (1978). · Zbl 0403.20030 · doi:10.1112/blms/10.3.297
[205] F. J. Grünewald and D. Segal, ”The solubility of certain decision problems in arithmetic and algebra,” Bull. Am. Math. Soc. (New Ser.),1, No. 6, 915–918 (1979). · Zbl 0431.20029 · doi:10.1090/S0273-0979-1979-14692-5
[206] F. J. Grünewald and D. Segal, ”Some general algorithms. I. Arithmetic groups,” Ann. Math.,112, No. 3, 531–583 (1980). · Zbl 0457.20047 · doi:10.2307/1971091
[207] F. J. Grünewald and D. Segal, ”Some general algorithms. II. Nilpotent groups,” Ann. Math.,112, No. 3, 585–617 (1980). · Zbl 0457.20048 · doi:10.2307/1971092
[208] F. J. Grünewald and D. Segal, ”Conjugacy of subgroups in arithmetic groups,” Proc. London Math. Soc.,44, No. 1, 47–70 (1982). · Zbl 0477.20026 · doi:10.1112/plms/s3-44.1.47
[209] W. J. Haboush, ”Deformation theoretic methods in the theory of algebraic transformation spaces,” J. Math. Kyoto Univ.,14, 341–370 (1974). · Zbl 0364.14005 · doi:10.1215/kjm/1250523242
[210] W. J. Haboush, ”Reductive groups are geometrically reductive,” Ann. Math.,102, No. 1, 67–83 (1975). · Zbl 0316.14016 · doi:10.2307/1970974
[211] W. J. Haboush, ”Homogeneous vector bundles and reductive subgroups of reductive algebraic groups,” Am. J. Math.,100, No. 6, 1123–1137 (1978). · Zbl 0432.14029 · doi:10.2307/2373966
[212] G. Harder, ”Chevalley groups over function fields and automorphic forms,” Ann. Math.,100, No. 2, 249–306 (1974). · Zbl 0309.14041 · doi:10.2307/1971073
[213] G. Harder, ”über die Galoiskohomologie halbeinfacher algebraischer Gruppen III,” J. Reine Angew. Math.,274–275, 125–138 (1975). · Zbl 0317.14025
[214] G. Harder, ”On the cohomology of discrete arithmetically defined groups,” in: Discrete Subgroups of Lie Groups and Appl. Moduli. Pap. Bombay Colloq. 1973, Oxford (1975), pp. 129–160.
[215] G. Harder, ”Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern,” Invent. Math.,42, 135–175 (1977). · Zbl 0391.20036 · doi:10.1007/BF01389786
[216] L. A. Harris and W. Kaup, ”Linear algebraic groups in infinite dimensions,” Illinois J. Math.,21, No. 3, 666–674 (1977). · Zbl 0385.22011
[217] R. A. Herb and N. R. O’Brian, ”A characterization of unipotent semisimple and regular elements in a reductive algebraic group,” Bull. London Math. Soc.,8, No. 3, 233–238 (1976). · Zbl 0358.20056 · doi:10.1112/blms/8.3.233
[218] W. H. Hesselink, ”Uniform instability in reductive groups,” J. Reine Angew. Math., Nos. 303–304, 74–96 (1978). · Zbl 0386.20020
[219] H. Hijikata, ”On the structure of semisimple algebraic groups over valuation fields. I,” Jpn. J. Math., New Ser.,1, No. 2, 225–300 (1975). · Zbl 0386.20021
[220] T. Hirai, ”On Richardson classes of unipotent elements in semisimple algebraic groups,” Proc. Jpn. Acad.,A57, No. 7, 367–372 (1981). · Zbl 0503.20015 · doi:10.3792/pjaa.57.367
[221] G. P. Hochschild, ”Automorphism towers of affine algebraic groups,” J. Algebra,22, No. 2, 365–373 (1972). · Zbl 0256.20058 · doi:10.1016/0021-8693(72)90153-6
[222] G. P. Hochschild, ”Lie algebra cohomology and affine algebraic groups,” Illinois J. Math.,18, No. 1, 170–176 (1974). · Zbl 0299.17004
[223] G. P. Hochschild, ”Algebraic automorphism groups,” Illinois J. Math.,19, No. 1, 131–144 (1975). · Zbl 0316.14015
[224] G. P. Hochschild, Basic Theory of Algebraic Groups and Lie Algebras, Springer-Verlag, New York (1981). · Zbl 0589.20025
[225] G. P. Hochschild and D. Wigner, ”Abstractly split group extensions,” Pac. J. Math.,68, No. 2, 447–453 (1977). · Zbl 0367.22002 · doi:10.2140/pjm.1977.68.447
[226] M. Hochster and J. Roberts, ”Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay,” Adv. Math.,13, No. 2, 115–175 (1974). · Zbl 0289.14010 · doi:10.1016/0001-8708(74)90067-X
[227] J. E. Humphreys, Ordinary and Modular Representations of Chevalley Groups, Lecture Notes in Mathematics, Vol. 528, Springer-Verlag (1976). · Zbl 0341.20037
[228] J. E. Humphreys, ”On the hyperalgebra of a semisimple algebraic group,” in: Contributions to Algebra, Academic Press, New York-San Francisco-London (1977), pp. 203–210.
[229] J. E. Humphreys, ”Hilbert’s fourteenth problem,” Am. Math. Month.,85, No. 5, 341–353 (1978). · Zbl 0391.14002 · doi:10.2307/2321339
[230] J. E. Humphreys, Arithmetic Groups, Lecture Notes in Mathematics, Vol. 789, Springer-Verlag (1980). · Zbl 0426.20029
[231] J. E. Humphreys and J. C. Jantzen, ”Blocks and indecomposable modules for semisimple algebraic groups,” J. Algebra,54, No. 2, 494–503 (1978). · Zbl 0398.20047 · doi:10.1016/0021-8693(78)90012-1
[232] J. E. Humphreys and D. N. Verma, ”Projective modules for finite Chevalley groups,” Bull. Am. Math. Soc.,79, No. 3, 467–468 (1973). · Zbl 0258.20007 · doi:10.1090/S0002-9904-1973-13220-3
[233] J. Hurrelbrink, ”Endlich prÄsentierete arithmetische Gruppen und K2 über Laurent-Polynomringen,” Math. Ann.,225, 123–129 (1977). · Zbl 0325.20043 · doi:10.1007/BF01351716
[234] J. Hurrelbrink and U. Rehmann, ”Zur endlichen PrÄsentation von Chevalley Gruppen über den euklidischen imaginÄrquadratischen Zahlringen,” Arch. Math.,27, No. 2, 123–133 (1976). · Zbl 0347.20028 · doi:10.1007/BF01224652
[235] B. Iversen, ”The geometry of algebraic groups,” Adv. Math.,20, No. 1, 57–85 (1976). · Zbl 0327.14015 · doi:10.1016/0001-8708(76)90170-5
[236] B. Iversen, ”Brauer group of a linear algebraic group,” J. Algebra,42, No. 2, 295–301 (1976). · Zbl 0372.20031 · doi:10.1016/0021-8693(76)90100-9
[237] D. James, W. Waterhouse, and B. Weisfeiler, ”Abstract homomorphisms of algebraic groups: problems and bibliography,” Commun. Algebra,9, No. 1, 95–114 (1981). · Zbl 0452.20045 · doi:10.1080/00927878108822565
[238] J. C. Jantzen, ”Darstellungen halbeinfacher algebraischer Gruppen und Zugeordnete kontravariante Formen,” Bonn. Math. Schr., No. 67 (1973). · Zbl 0288.17004
[239] J. C. Jantzen, ”Darstellungen halbeinfacher Gruppen und kontravariante Formen,” J. Reine Angew. Math.,290, 117–141 (1977). · Zbl 0342.20022
[240] J. C. Jantzen, ”über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen,” Math. Z.,164, No. 3, 271–292 (1978). · Zbl 0396.20029 · doi:10.1007/BF01182273
[241] D. S. Johnston and R. W. Richardson, ”Conjugacy classes in parabolic subgroups of semisimple algebraic groups. II,” Bull. London Math. Soc.,9, No. 3, 245–250 (1977). · Zbl 0375.22008 · doi:10.1112/blms/9.3.245
[242] J. Jurkeiwicz, ”An example of algebraic torus action which determines the nonfiltrable decomposition,” Bull. Acad. Pol. Sci. Sér. Sci. Math. Astron. Phys.,25, No. 11, 1089–1092 (1977).
[243] V. G. Kac (Kats), V. L. Popov, and E. B. Vinberg, ”Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre,” C. R. Acad. Sci., Sér. 1,283, No. 12, 875–878 (1976). · Zbl 0343.20023
[244] V. G. Kac (Kats) and B. Weisfeiler, ”Coadjoint action of a semisimple algebraic group and the center of the enveloping algebra in characteristic p,” Indag. Math.,38, No. 2, 136–151 (1976). · Zbl 0324.17001 · doi:10.1016/1385-7258(76)90059-7
[245] W. L. J. van der Kallen, Infinitesimally Central Extensions of Chevalley Groups, Lecture Notes in Mathematics, Vol. 356, Springer-Verlag (1973). · Zbl 0275.17006
[246] T. Kambayashi, ”On certain algebraic groups attached to local number fields,” J. Reine Angew. Math.,273, 41–48 (1975). · Zbl 0301.12005
[247] T. Kambayashi, ”Automorphism group of a polynomial ring and algebraic group action on an affine space,” J. Algebra,60, No. 2, 439–451 (1979). · Zbl 0429.14017 · doi:10.1016/0021-8693(79)90092-9
[248] N. Kawanaka, ”Unipotent elements and characters of finite Chevalley groups,” Proc. Jpn. Acad.,51, No. 3, 156–158 (1975). · Zbl 0329.20025 · doi:10.3792/pja/1195518666
[249] N. Kawanaka, ”Unipotent elements and characters of finite Chevalley groups,” Osaka J. Math.,12, No. 2, 523–554 (1975). · Zbl 0314.20031
[250] G. R. Kempf, ”Instability in invariant theory,” Ann. Math.,108, No. 2, 299–316 (1978). · Zbl 0406.14031 · doi:10.2307/1971168
[251] G. R. Kempf, ”Algebraic representations of reductive groups,” in: Proceedings of the International Congress of Mathematicians, Helsinki, Aug. 15–23, 1978, Vol. 2, Helsinki (1980), pp. 575–577.
[252] G. R. Kempf, ”Representations of algebraic groups in prime characteristics,” Ann. Sci. école Norm. Sup.,14, No. 1, 61–76 (1981). · Zbl 0466.20017 · doi:10.24033/asens.1397
[253] G. R. Kempf, F. Knudsen, D. Mumford, and B. Saint-Donat, Toroidal Embedding. I, Lecture Notes in Mathematics, Vol. 339, Springer-Verlag (1973). · Zbl 0271.14017
[254] M. Kneser, ”Normalteiler ganzzahliger Spingruppen,” J. Reine Angew. Math.,311–312, 191–214 (1979). · Zbl 0409.20038
[255] M. Kneser, ”Erzeugung ganzzahliger orthogonaler Gruppen durch Spiegelungen,” Math. Ann.,255, No. 4, 453–462 (1981). · Zbl 0439.10016 · doi:10.1007/BF01451927
[256] E. R. Kolchin, Differential Algebra and Algebraic Groups, Academic Press, New York (1973). · Zbl 0264.12102
[257] J. Konarski, ”Decompositions of normal algebraic varieties determined by an action of a one-dimensional torus,” Bull. Acad. Pol. Sci. Sér. Sci. Math. Astron. Phys.,26, No. 4, 295–300 (1978). · Zbl 0394.14019
[258] H. Kraft, Kommutative Algebraische Gruppen und Ringe, Lecture Notes in Mathematics, Vol. 455, Springer-Verlag (1975).
[259] H. Kraft, ”BahnenrÄume bei linearen Darstellungen reduktiver Gruppen,” Monogr. Enseign. Math., No. 26, 187–189 (1978). · Zbl 0405.14022
[260] R. E. Kutz, ”Cohen-Macaulay rings and ideal theory in rings of invariants of algebraic groups,” Trans. Am. Math. Soc.,194, 115–129 (1974). · Zbl 0288.13004 · doi:10.1090/S0002-9947-1974-0352082-2
[261] K. F. Lai, ”On the Tamagawa number of quasisplit groups,” Bull. Am. Math. Soc.,82, No. 2, 300–302 (1976). · Zbl 0361.20046 · doi:10.1090/S0002-9904-1976-14030-X
[262] K. F. Lai, ”Tamagawa number of reductive algebraic groups,” Compos. Math.,41, No. 2, 153–188 (1980). · Zbl 0416.20035
[263] D. H. Lee, ”On the group of automorphisms of affine algebraic groups,” Trans. Am. Math. Soc,237, 145–152 (1978). · Zbl 0376.20027 · doi:10.1090/S0002-9947-1978-0491739-3
[264] D. H. Lee, ”On conservative affine algebraic groups,” J. Algebra,74, No. 1, 241–245 (1982). · Zbl 0479.14021 · doi:10.1016/0021-8693(82)90017-5
[265] G. I. Lehrer, ”Characters, classes and duality in isogenous groups,” J. Algebra,36, No. 2, 278–286 (1975). · Zbl 0374.20055 · doi:10.1016/0021-8693(75)90102-7
[266] G. I. Lehrer, ”The Schur index of the p-regular characters of the Borel subgroups,” Proc. Am. Math. Soc,76, No. 2, 196–198 (1979). · Zbl 0435.20022
[267] H. W. Lenstra, Jr., ”Rational functions invariant under a finite Abelian group,” Invent. Math.,25, Nos. 3–4, 299–325 (1974). · Zbl 0292.20010 · doi:10.1007/BF01389732
[268] H. W. Lenstra, Jr., ”Rational functions invariant under a cyclic group,” Queen’s Pap. Pure Appl. Math., No. 54, 91–99 (1980).
[269] B. Liehl, ”On the group SL2 over orders of arithmetic type,” J. Reine Angew. Math.,323, 153–171 (1981).
[270] R. L. Lipsman, ”Algebraic transformation groups and representation theory,” Math. Ann.,214, No. 2, 149–157 (1975). · Zbl 0302.54036 · doi:10.1007/BF01352648
[271] R. L. Lipsman, ”The CCR property for algebraic groups,” Am. J. Math.,97, No. 3, 741–752 (1975). · Zbl 0319.22009 · doi:10.2307/2373774
[272] A. Lubotsky and A. Magid, ”Cohomology of unipotent and prounipotent groups,” J. Algebra,74, No. 1, 76–95 (1982). · Zbl 0473.20031 · doi:10.1016/0021-8693(82)90006-0
[273] D. Luna, ”Adherences d’orbite et invariants,” Invent. Math.,29, No. 3, 231–238 (1975). · Zbl 0315.14018 · doi:10.1007/BF01389851
[274] D. Luna and T. Vust, ”Une théorème sur les orbites affines des groupes algébriques semisimples,” Ann. Scuola Norm. Supér. Pisa. Sci. Fis. Mat.,21, No. 3, 527–535 (1973(1974)). · Zbl 0276.14017
[275] G. Lusztig, ”Sur la conjecture de Macdonald,” C. R. Acad. Sci.,280, No. 6, A317-A320 (1975). · Zbl 0306.20046
[276] G. Lusztig, ”On the finiteness of the number of unipotent classes,” Invent. Math.,34, No. 3, 201–213 (1976). · Zbl 0371.20039 · doi:10.1007/BF01403067
[277] G. Lusztig, ”Coxeter orbits and eigenspaces of Frobenius,” Invent. Math.,38, No. 2, 101–159 (1976). · Zbl 0366.20031 · doi:10.1007/BF01408569
[278] G. Lusztig, ”On the unipotent characters of exceptional groups over finite fields,” Invent. Math.,60, No. 2, 173–192 (1980). · Zbl 0443.20036 · doi:10.1007/BF01405152
[279] A. R. Magid, ”The universal group cover of a pro-affine algebraic group,” Duke Math. J.,42, No. 1, 43–49 (1975). · Zbl 0334.14025 · doi:10.1215/S0012-7094-75-04202-7
[280] A. R. Magid, ”Left algebraic groups,” J. Algebra,35, Nos. 1–3, 253–272 (1975). · Zbl 0306.14020 · doi:10.1016/0021-8693(75)90050-2
[281] A. R. Magid, ”Fundamental, Picard and class groups of rings of invariants,” Can. J. Math.,28, No. 3, 659–664 (1976). · Zbl 0344.13003 · doi:10.4153/CJM-1976-066-4
[282] A. R. Magid, ”Covering spaces of algebraic groups,” Am. Math. Month.,83, No. 8, 614–621 (1976). · Zbl 0346.14008 · doi:10.2307/2319885
[283] A. R. Magid, ”Analytic subgroups of affine algebraic groups,” Duke Math. J.,44, No. 4, 875–882 (1977). · Zbl 0376.22008 · doi:10.1215/S0012-7094-77-04441-6
[284] A. R. Magid, ”Analytic left algebraic groups,” Am. J. Math.,99, No. 5, 1045–1059 (1977). · Zbl 0373.14012 · doi:10.2307/2373999
[285] A. R. Magid, ”Analytic left algebraic groups. II,” Trans. Am. Math. Soc.,238, 165–177 (1978). · Zbl 0398.22014
[286] A. R. Magid, ”Separately algebraic group laws,” Am. J. Math.,100, No. 2, 407–409 (1978). · Zbl 0389.14007 · doi:10.2307/2373855
[287] A. R. Magid, ”Brauer groups of linear algebraic groups with characters,” Proc. Am. Math. Soc,21, No. 2, 164–168 (1978). · Zbl 0393.20029 · doi:10.1090/S0002-9939-1978-0485816-6
[288] G. Margrave, ”Special arithmetic subgroups of Chevalley groups,” Am. J. Math.,101, No. 6, 1285–1301 (1979). · Zbl 0431.20037 · doi:10.2307/2374141
[289] L. Markus, ”Exponentials in algebraic matrix groups,” Adv. Math.,11, No. 3, 351–367 (1973). · Zbl 0271.22006 · doi:10.1016/0001-8708(73)90017-0
[290] F. Meden, ”Relèvement de représentations de l’algèbre de Lie d’un groupe linéaire algébrique,” C. R. Acad. Sci.,280, No. 23, A1613-A1616 (1975). · Zbl 0311.22013
[291] E. R. Mendoza, ”Cohomology of PGL(2) over imaginary quadratic integers,” Bonn. Math. Schr., No. 128 (1980). · Zbl 0464.12005
[292] H.-M. Meyer and U. Oberst, ”Fixpunkt und StruktursÄtze für affine algebraische Gruppenschemata in Charakteristik p,” Math. Ann.,227, No. 1, 67–96 (1977). · Zbl 0327.14014 · doi:10.1007/BF01360964
[293] F. Minbashian, ”The automorphism group of algebraic groups,” J. Algebra,43, No. 1, 122–128 (1976). · Zbl 0369.20022 · doi:10.1016/0021-8693(76)90147-2
[294] F. Minbashian, ”Pro-af f ine algebraic groups,” Am. J. Math.,95, No. 1, 174–192 (1973). · Zbl 0272.14015 · doi:10.2307/2373650
[295] M. Miyanishi, ”On the algebraic fundamental group of an algebraic group,” J. Math. Kyoto Univ.,12, No. 2, 351–367 (1972). · Zbl 0241.14012 · doi:10.1215/kjm/1250523524
[296] C. L. Morgan, ”Autoaddition formulae and algebraic groups,” Aequat. Math.,14, No. 3, 325–343 (1976). · Zbl 0335.14008 · doi:10.1007/BF01835981
[297] K. Moss, ”Homology of SL(n, Z[1/p]),” Duke Math. J.,47, No. 4, 803–818 (1980). · Zbl 0467.57012 · doi:10.1215/S0012-7094-80-04747-X
[298] A. Murase, ”On the uniform distribution property of certain linear algebraic groups,” Pac. J. Math.,88, No. 1, 163–187 (1980). · Zbl 0452.22018 · doi:10.2140/pjm.1980.88.163
[299] Z. Nakao, ”Bi-algebraic groups,” J. Algebra,57, No. 1, 1–9 (1979). · Zbl 0411.14013 · doi:10.1016/0021-8693(79)90205-9
[300] A. Nishikawa, ”Note on morphisms of affine algebraic groups,” Math. J. Okayama Univ.,18, No. 1, 31–34 (1975). · Zbl 0334.20021
[301] P. Norman, ”A fixed point criterion for linear reductivity,” Proc. Am. Math. Soc,50, 95–96 (1975). · Zbl 0352.20034 · doi:10.1090/S0002-9939-1975-0369377-5
[302] U. Oberst, ”The use of representations in the invariant theory of not necessarily reductive groups,” in: Lecture Notes in Mathematics, Vol. 641, Springer-Verlag (1978), pp. 112–127. · Zbl 0387.14011
[303] Z. Ohmori, ”On the Schur indices of reductive groups,” Q. J. Math.,28, No. 111, 357–361 (1977). · Zbl 0365.20012 · doi:10.1093/qmath/28.3.357
[304] Z. Ohmori, ”On the Schur indices of reductive groups. II,” Q. J. Math.,32, No. 128, 443–452 (1981). · Zbl 0474.20022 · doi:10.1093/qmath/32.4.443
[305] T. Ono, ”A remark on Gaussian sums and algebraic groups,” J. Math. Kyoto Univ.,13, 139–142 (1973). · Zbl 0273.14020 · doi:10.1215/kjm/1250523442
[306] B. Parshall, ”Regular elements in algebraic groups of prime characteristic,” Proc. Am. Math. Soc.,39, No. 1, 57–62 (1973). · Zbl 0278.20036 · doi:10.1090/S0002-9939-1973-0313413-7
[307] B. Parshall, ”A class of unipotent elements in a simple algebraic group,” J. Algebra,36, No. 1, 26–37 (1975). · Zbl 0336.20031 · doi:10.1016/0021-8693(75)90152-0
[308] B. Peterson, ”Extensions of pro-affine algebraic groups,” Pac. J. Math.,77, No. 1, 189–231 (1978). · Zbl 0407.14020 · doi:10.2140/pjm.1978.77.189
[309] V. P. Platonov, ”Algebraic groups and reduced K-theory,” in: Proceedings of the International Congress of Mathematicians, Helsinki, Aug. 15–23, 1978, Vol. 1, Helsinki (1980), pp. 311–317.
[310] K. Pommerening, ”Observable radizielle Untergruppen von halbeinfachen algebraischen Gruppen,” Math. Z.,165, No. 3, 243–250 (1979). · Zbl 0379.20040 · doi:10.1007/BF01437560
[311] K. Pommerening, ”über die unipotenten Klassen reduktiver Gruppen,” J. Algebra,49, No. 2, 525–536 (1977). · Zbl 0367.20046 · doi:10.1016/0021-8693(77)90256-3
[312] K. Pommerening, ”über die unipotenten Klassen reduktiver Gruppen. II,” J. Algebra,65, No. 2 (1980). · Zbl 0437.20034
[313] K. Pommerening, ”Invarianten unipotenter Gruppen,” Math. Z.,176, No. 3, 359–374 (1981). · Zbl 0438.14010 · doi:10.1007/BF01214612
[314] V. L. Popov, ”Constructive invariant theory,” Astérisque, Nos. 87–88, 303–304 (1981).
[315] G. Prasad, ”Triviality of certain automorphisms of semisimple groups over local fields,” Math. Ann.,218, No. 3, 219–227 (1975). · Zbl 0302.20040 · doi:10.1007/BF01349696
[316] G. Prasad, ”Strong approximation for semisimple groups over function fields,” Ann. Math.,105, No. 3, 553–572 (1977). · Zbl 0348.22006 · doi:10.2307/1970924
[317] M. S. Raghunathan, ”A note on orbits of reductive groups,” J. Indian Math. Soc,38, Nos. 1–4, 65–70 (1974(1975)). · Zbl 0365.20048
[318] M. S. Raghunathan, ”On the congruence subgroup problem,” Publ. Math. I.H.E.S., No. 46, 107–161 (1976). · Zbl 0347.20027 · doi:10.1007/BF02684320
[319] J. H. Reinoehl, ”Lie algebras and affine algebraic groups,” Pac. J. Math.,86, No. 1, 287–300 (1980). · Zbl 0402.17011 · doi:10.2140/pjm.1980.86.287
[320] C. Reutenauer, ”Point générique du plus petit group algébrique dont l’algèbre de Lie contient plusieurs matrices données,” C. R. Acad. Sci., Ser. 1,293, No. 12, 577–580 (1981). · Zbl 0486.20027
[321] R. W. Richardson, Jr., ”Conjugacy classes in parabolic subgroups of semisimple algebraic groups,” Bull. London Math. Soc.,6, No. 1, 21–24 (1974). · Zbl 0287.20036 · doi:10.1112/blms/6.1.21
[322] R. W. Richardson, Jr., ”The conjugating representation of a semisimple algebraic group,” Bull. Am. Math. Soc.,82, No. 6, 933–935 (1976). · Zbl 0364.20047 · doi:10.1090/S0002-9904-1976-14224-3
[323] R. W. Richardson, Jr., ”Affine coset spaces of reductive algebraic groups,” Bull. London Math. Soc.,9, No. 1, 38–41 (1977). · Zbl 0355.14020 · doi:10.1112/blms/9.1.38
[324] R. W. Richardson, Jr., ”Commuting varieties of semisimple Lie algebras and algebraic groups,” Compos. Math.,38, No. 3, 311–327 (1979). · Zbl 0409.17006
[325] R. W. Richardson, Jr., ”The conjugating representation of a semisimple group,” Invent. Math.,54, No. 3, 229–245 (1979). · Zbl 0424.20035 · doi:10.1007/BF01390231
[326] J. Rohlfs, ”über maximale arithmetische definierte Gruppen,” Math. Ann.,234, No. 3, 239–252 (1978). · Zbl 0384.20038 · doi:10.1007/BF01420646
[327] J. Rohlfs, ”Arithmetische definierte Gruppen mit Galoisoperation,” Invent. Math.,48, No. 2, 185–205 (1978). · Zbl 0391.14007 · doi:10.1007/BF01390250
[328] J. Rohlfs, ”Die maximalen arithmetische definierte Untergruppen zerfallender einfacher Gruppen,” Math. Ann.,244, 219–231 (1979). · Zbl 0426.20030 · doi:10.1007/BF01420344
[329] A. Rosenberg, ”Homomorphismes ’abstraits’ de groupes algébriques et de groupes de Lie,” C. R. Acad. Sci., Sér. 1,292, No. 4, 247–249 (1981). · Zbl 0469.14021
[330] G. Rousseau, ”Immeubles sphériques et théorie des invariants,” C. R. Acad. Sci., Sér. 1,286, 247–250 (1978). · Zbl 0375.14013
[331] H.-J. Schneider, ”Zerlegbare Erweiterungen affiner Gruppen,” J. Algebra,66, No. 2, 569–593 (1980). · Zbl 0452.20040 · doi:10.1016/0021-8693(80)90105-2
[332] G. Schwarz, ”Lifting smooth homotopies of orbit spaces,” Publ. Math. I.H.E.S., No. 51, 37–136 (1980). · Zbl 0449.57009 · doi:10.1007/BF02684776
[333] J. Schweriner, ”A note on link complements and arithmetic groups,” Math. Ann.,249, No. 2, 107–110 (1980). · Zbl 0443.57005 · doi:10.1007/BF01351407
[334] M. Seibach, ”Klassifikationstheorie halbeinfacher algebraischer Gruppen,” Bonn. Math. Schr., No. 83 (1976). · Zbl 0392.20025
[335] G. B. Seligman, ”On two-dimensional algebraic groups,” Scr. Math.,29, Nos. 3–4, 453–465 (1973). · Zbl 0263.17004
[336] J.-P. Serre, ”Arithmetic groups,” London Math. Soc. Lecture Notes Series,36, 105–135 (1979).
[337] J.-P. Serre, ”Groupes algébriques associés aux modules de Hodge-Tate,” Astérisque, No. 65, 155–188 (1979).
[338] T. Shoji, ”On the Springer representations of Chevalley groups of type F4,” Commun. Algebra,8, No. 5, 409–440 (1980). · Zbl 0434.20026 · doi:10.1080/00927878008822466
[339] J.-M. Shyr, ”A generalization of Dirichlet’s unit theorem,” J. Number Theory,9, No. 2, 213–217 (1977). · Zbl 0365.12002 · doi:10.1016/0022-314X(77)90025-7
[340] J.-M. Shyr, ”On some class number relations of algebraic tori,” Michigan Math. J.,24, No. 3, 365–377 (1977). · Zbl 0433.12009 · doi:10.1307/mmj/1029001954
[341] W. Y. Sit, ”Typical differential dimension on the intersection of linear differential algebraic groups,” J. Algebra,32, No. 3, 476–487 (1974). · Zbl 0297.12102 · doi:10.1016/0021-8693(74)90153-7
[342] K.-Y. C. Sit, ”On bounded elements of linear algebraic groups,” Trans. Am. Math. Soc,209, No. 482, 185–198 (1975). · Zbl 0273.22005 · doi:10.1090/S0002-9947-1975-0379750-1
[343] C. Soulé, ”The cohomology of SL3(Z),” Topology,17, 1–22 (1978). · Zbl 0382.57026 · doi:10.1016/0040-9383(78)90009-5
[344] N. Spaltenstein, ”On the fixed point set of a unipotent element on the variety of Borel subgroups,” Topology,16, No. 2, 203–204 (1977). · Zbl 0445.20021 · doi:10.1016/0040-9383(77)90022-2
[345] B. Speh, ”Unitary representations of SL(n, R) and the cohomology of congruence subgroups,” in: Lecture Notes in Mathematics, Vol. 880, Springer-Verlag (1981), pp. 483–505. · Zbl 0516.22008
[346] T. A. Springer, ”Characters of finite Chevalley groups,” in: Harmonic Analysis in Homogeneous Spaces (Proc. Symp. Pure Math., Vol. 26), Providence, R.I. (1973), pp. 401–406. · doi:10.1090/pspum/026/0338150
[347] T. A. Springer, ”Trigonometric sums. Green functions of finite groups and representations of Weyl groups,” Invent. Math.,36, 173–207 (1976). · Zbl 0374.20054 · doi:10.1007/BF01390009
[348] T. A. Springer, ”Représentations de groupes de Weyl et éléments nilpotents d’algèbres de Lie,” in: Lecture Notes in Mathematics, Vol. 586, Springer-Verlag (1977), pp. 86–92.
[349] T. A. Springer, Invariant Theory, Lecture Notes in Mathematics, Vol. 585, Springer-Verlag (1977). · Zbl 0346.20020
[350] T. A. Springer, ”Reductive groups,” in: Automorphic Forms, Representations, and L-Functions, Proc. Symp. Pure Math., Amer. Math. Soc., Corvallis, Ore., 1977, Part 1, Providence, R. I. (1979), pp. 3–27.
[351] R. Steinberg, Conjugacy Classes in Algebraic Groups, Lecture Notes in Mathematics, Vol. 366, Springer-Verlag (1974). · Zbl 0281.20037
[352] R. Steinberg, ”Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits),” in: Lecture Notes in Mathematics, Vol. 383, Springer-Verlag (1974), pp. 307–326. · Zbl 0294.20040
[353] R. Steinberg, ”Torsion in reductive groups,” Adv. Math.,15, No. 1, 63–92 (1975). · Zbl 0312.20026 · doi:10.1016/0001-8708(75)90125-5
[354] R. Steinberg, ”On the desingularization of the unipotent variety,” Invent. Math.,36, 209–224 (1976). · Zbl 0352.20035 · doi:10.1007/BF01390010
[355] R. Steinberg, ”Conjugacy in semisimple algebraic groups,” J. Algebra,55, No. 2, 348–350 (1978). · Zbl 0401.20036 · doi:10.1016/0021-8693(78)90226-0
[356] R. Steinberg, ”Generators, relations and coverings of algebraic groups. II,” J. Algebra,71, No. 2, 527–543 (1981). · Zbl 0468.20038 · doi:10.1016/0021-8693(81)90193-9
[357] U. Stuhler, ”Zur Frage der endlichen PrÄsentierbarkeit gewisser arithmetischer Gruppen im Funktionenkörperfall,” Math. Ann.,224, No. 3, 217–232 (1976). · Zbl 0323.20040 · doi:10.1007/BF01459846
[358] U. Stuhler, ”Homological properties of certain arithmetic groups in the function field case,” Invent. Math.,57, No. 3, 263–281 (1980). · Zbl 0432.14026 · doi:10.1007/BF01418929
[359] J. B. Sullivan, ”Automorphisms of affine unipotent groups in positive characteristics,” J. Algebra,26, No. 1, 140–151 (1973). · Zbl 0266.20045 · doi:10.1016/0021-8693(73)90039-2
[360] J. B. Sullivan, ”A decomposition theorem for pro-affine solvable algebraic groups over algebraically closed fields,” Am. J. Math.,95, No. 1, 221–228 (1973). · Zbl 0272.14014 · doi:10.2307/2373654
[361] J. B. Sullivan, ”A proof of the finite generation of invariants of a normal subgroup,” Pac. J. Math.,51, No. 2, 571–572 (1974). · Zbl 0297.20051 · doi:10.2140/pjm.1974.51.571
[362] J. B. Sullivan, ”Representations of the hyperalgebra of an algebraic group,” Am. J. Math.,100, No. 3, 643–652 (1978). · Zbl 0406.14029 · doi:10.2307/2373845
[363] J. B. Sullivan, ”Relations between the cohomology of an algebraic group and its infinitesimal subgroups,” Am. J. Math.,100, No. 5, 995–1014 (1978). · Zbl 0417.22013 · doi:10.2307/2373959
[364] J. B. Sullivan, ”Simply connected groups, the hyperalgebra and Verma’s conjecture,” Am. J. Math.,100, 1015–1019 (1978). · Zbl 0415.14028 · doi:10.2307/2373960
[365] M. E. Sweedler, ”Conjugacy of Borel subgroups: an easy proof,” Adv. Math.,20, No. 1, 86–100 (1976). · Zbl 0322.14019 · doi:10.1016/0001-8708(76)90171-7
[366] M. Takeuchi, ”A note on geometrically reductive groups,” J. Fac. Sci. Univ. Tokyo, Sec. 1A,20, No. 3, 387–396 (1973). · Zbl 0282.14014
[367] M. Takeuchi, ”On the coverings and hyperalgebras of affine algebraic groups,” Trans. Am. Math. Soc.,211, 249–275 (1975). · Zbl 0313.14008 · doi:10.1090/S0002-9947-1975-0429928-3
[368] J. Tits, ”Homomorphismes ’abstraits’ de groupes de Lie,” in: Symp. Math. 1st Naz. Alta Mat. Conv., Nov.-Dic. 1972, Vol. 13, London-New York (1974), pp. 479–499. · Zbl 0291.22009
[369] J. Tits, Buildings of Spherical Type and Finite BN-Pairs, Lecture Notes in Mathematics, Vol. 386, Springer-Verlag (1974). · Zbl 0295.20047
[370] J. Tits, ”On buildings and their applications,” in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, Vol. 1, Sec. 1 (1975), pp. 209–220.
[371] J. Tits, ”Systèmes générateurs de groupes de congruence,” C. R. Acad. Sci.,283, No. 9, A693-A695 (1976). · Zbl 0381.14005
[372] J. Tits, ”A ’theorem of Lie-Kolchin’ for trees,” in: Contributions to Algebra, Academic Press, New York-San Francisco-London (1977), pp. 377–388. · Zbl 0373.20039
[373] J. Tits, ”Travaux de Margulis sur les sousgroupes discrete de groupes de Lie,” in: Lecture Notes in Mathematics, Vol. 567, Springer-Verlag (1977), pp. 174–190.
[374] J. Tits, ”Endliche Spiegelungsgruppen die als Weylgruppen auftreten,” Invent. Math.,43, 283–295 (1977). · Zbl 0399.20037 · doi:10.1007/BF01390082
[375] J. Tits, ”Reductive groups over local fields,” in: Automorphic Forms, Representations and L-Functions, Proc. Symp. Pure Math., Am. Math. Soc, Corvallis, Ore., 1977, Part 1, Providence, R. I. (1979), pp. 29–69.
[376] J. Tits, ”Groupes de Whitehead de groupes algébriques simples sur un corps (d’après V. P. Platonov et al.),” in: Lecture Notes in Mathematics, Vol. 677, Springer-Verlag (1978), pp. 218–236.
[377] F. Veldkamp, ”Regular characters and regular elements,” Commun. Algebra,5, No. 12, 1259–1273 (1977). · Zbl 0372.20035 · doi:10.1080/00927877708822218
[378] F. Veldkamp, ”Regular elements in anisotropic tori,” in: Contributions to Algebra, Academic Press, New York-San Francisco-London (1977), pp. 389–424.
[379] D.-N. Verma, ”The role of affine Weyl groups in the representation theory of algebraic Chevalley groups and their Lie algebras,” in: Lie Groups and Their Representations, Budapest (1975), pp. 653–703.
[380] M. Waldschmidt, ”Nombres transcendants et groupes algébriques,” Astérisque, Nos. 69–70 (1979).
[381] W. C. Waterhouse, Introduction to Affine Group Schemes, Springer-Verlag, New York (1979). · Zbl 0442.14017
[382] W. C. Waterhouse, ”Subgroups of ax + b and the splitting of triangular group schemes,” Proc. Am. Math. Soc,79, No. 4, 520–522 (1980). · Zbl 0442.14018
[383] W. C. Waterhouse and B. Weisfeiler, ”One-dimensional affine group schemes,” J. lgebra,66, No. 2, 550–568 (1980). · Zbl 0452.14013 · doi:10.1016/0021-8693(80)90104-0
[384] B. Weisfeiler, ”On abstract homomorphisms of anisotropic algebraic groups over real-closed fields,” J. Algebra,60, No. 2, 485–519 (1979). · Zbl 0417.20041 · doi:10.1016/0021-8693(79)90095-4
[385] B. Weisfeiler, ”Abstract isomorphisms of simple algebraic groups split by quadratic extensions,” J. Algebra,68, No. 2, 335–368 (1981). · Zbl 0456.20023 · doi:10.1016/0021-8693(81)90268-4
[386] B. Weisfeiler, ”Monomorphisms between subgroups of groups of type G2,” J. Algebra,68, No. 2, 306–334 (1981). · Zbl 0453.20030 · doi:10.1016/0021-8693(81)90267-2
[387] Y. Yamazaki, ”On the variety of Borel subgroups containing a given diagonalizable subset,” Natur. Sci. Rept. Ochanomizu Univ.,29, No. 1, 11–17 (1978). · Zbl 0416.20036
[388] R. Zimmert, ”Zur SL2 der ganzen Zahlen eines imaginÄr-quadratischen Zahlkörpers,” Invent. Math.,19, No. 1, 73–81 (1973). · Zbl 0254.10019 · doi:10.1007/BF01418852
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