Normal structure of isotropic reductive groups over rings. (English) Zbl 07878003
Reviewer: Alla Detinko (Hull)
Found 333 Documents (Results 1–100)
Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces. (English) Zbl 1535.22039
Reviewer: Thomas B. Ward (Durham)
Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces. (English) Zbl 1522.22004
Unipotent generators for arithmetic groups. (English) Zbl 1517.20076
Detinko, Alla (ed.) et al., Computational aspects of discrete subgroups of Lie groups. Virtual conference, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, Rhode Island, USA June 14–18, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 783, 141-153 (2023).
Reviewer: Alexander W. Mason (Glasgow)
Polynomial effective equidistribution. (English. French summary) Zbl 1528.37006
The combinatorics of normal subgroups in the unipotent upper triangular group. (English) Zbl 1498.05288
Overgroups of regular unipotent elements in simple algebraic groups. (English) Zbl 1490.20034
Reviewer: Cameron Ruether (Ottawa)
On chief factors of parabolic maximal subgroups of the group \({}^2F_4(2^{2n+1})\). (English. Russian original) Zbl 1534.20015
Proc. Steklov Inst. Math. 313, Suppl. 1, S133-S139 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 4, 99-106 (2019).
Pairs of microweight tori in \(\mathrm{GL}_n\). (English) Zbl 1477.20092
MSC:
20G35
On the generalized Springer correspondence. (English) Zbl 1481.20179
Aizenbud, Avraham (ed.) et al., Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 101, 219-253 (2019).
Reviewer: Wilberd van der Kallen (Utrecht)
Topological proof of Benoist-Quint’s orbit closure theorem for \(\mathrm{SO}(d, 1) \). (English) Zbl 1437.37036
Reviewer: Alessio Savini (Bologna)
Badly approximable points on manifolds and unipotent orbits in homogeneous spaces. (English) Zbl 1478.11096
Reviewer: Simon Kristensen (Aarhus)
On topological and measurable dynamics of unipotent frame flows for hyperbolic manifolds. (English) Zbl 1419.37029
Reviewer: Jacques Franchi (Strasbourg)
On the chief factors of parabolic maximal subgroups of special finite simple groups of exceptional Lie type. (English. Russian original) Zbl 1386.20010
Sib. Math. J. 58, No. 6, 1034-1041 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1332-1340 (2017).
Non-divergence of unipotent flows on quotients of rank-one semisimple groups. (English) Zbl 1385.37048
Reviewer: Joan Porti (Bellaterra)
A new look at the decomposition of unipotents and the normal structure of Chevalley groups. (English. Russian original) Zbl 1392.20041
St. Petersbg. Math. J. 28, No. 3, 411-419 (2017); translation from Algebra Anal. 28 No. 3, 161-173 (2016).
Reviewer: Sergey Sinchuk (Sertolovo)
Fuchsian groups and compact hyperbolic surfaces. (English) Zbl 1379.22007
Reviewer: Herbert Abels (Bielefeld)
On the chief factors of maximal parabolic subgroups of twisted classical groups. (English. Russian original) Zbl 1336.20014
Sib. Math. J. 56, No. 5, 879-887 (2015); translation from Sib. Mat. Zh. 56, No. 5, 1100-1110 (2015).
Structure of Borel subgroups in simple groups of finite Morley rank. (English) Zbl 1339.20030
Reviewer: Frank Wagner (Villeurbanne)
Pseudo-reductive groups. 2nd ed. (English) Zbl 1314.20037
New Mathematical Monographs 26. Cambridge: Cambridge University Press (ISBN 978-1-107-08723-1/hbk; 978-1-316-09243-9/ebook). xxiv, 665 p. (2015).
On stability of unipotent automorphism groups of a vector space over a division ring. (Russian. English summary) Zbl 1330.20074
Quantized coordinate rings of the unipotent radicals of the standard Borel subgroups in \(\mathrm{SL}_{n+1}\). (English) Zbl 1311.16032
Reviewer: L. N. Vaserstein (University Park)
Infinite transitivity on universal torsors. (English) Zbl 1342.14105
Reviewer: Klaus Altmann (Berlin)
Thompson subgroups and large abelian unipotent subgroups of Lie-type groups. (English) Zbl 1522.20203
\(\mathrm{Sp}_{2n}(\mathbb F_{q^2})\)-invariants in irreducible unipotent representations of \(\mathrm{Sp}_{4n}(\mathbb F_q)\). (English) Zbl 1290.20033
Large elementary Abelian unipotent subgroups in Lie type groups. (Russian. English summary) Zbl 1290.20038
Long root tori in Chevalley groups. (English. Russian original) Zbl 1304.20062
St. Petersbg. Math. J. 24, No. 3, 387-430 (2013); translation from Algebra Anal. 24, No. 3, 22-83 (2012).
Reviewer: Michael Bate (York)
Centralizer of the elementary subgroup of an isotropic reductive group. (English. Russian original) Zbl 1280.20050
Vestn. St. Petersbg. Univ., Math. 46, No. 1, 22-28 (2013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 1, 35-43 (2013).
Reviewer: L. N. Vaserstein (University Park)
MSC:
20G35
On projective modules for Frobenius kernels and finite Chevalley groups. (English) Zbl 1286.20010
Reviewer: Christopher P. Bendel (Menomonie)
First cohomology for finite groups of Lie type: simple modules with small dominant weights. (English) Zbl 1295.20059
Reviewer: Christopher P. Bendel (Menomonie)
Irreducibility in algebraic groups and regular unipotent elements. (English) Zbl 1269.20040
Reviewer: Wilberd van der Kallen (Utrecht)
On the descent of Levi factors. (English) Zbl 1264.20044
Reviewer: L. N. Vaserstein (University Park)
The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups. (English. Russian original) Zbl 1290.20036
J. Math. Sci., New York 185, No. 3, 448-457 (2012); translation from Fundam. Prikl. Mat. 17, No. 1, 155-168 (2012).
Subgroups of Lie type groups containing the center of a unipotent radical. (English) Zbl 1263.20030
Reviewer: Theo Grundhöfer (Würzburg)
On the block structure of regular unipotent elements from subsystem subgroups of type \(A_1\times A_2\) in representations of the special linear group. (English. Russian original) Zbl 1255.20044
J. Math. Sci., New York 183, No. 5, 715-726 (2012); translation from Zap. Nauchn. Semin. POMI 388, 247-269 (2011).
MSC:
20G05
Some remarks on regular subgroups of the affine group. (English) Zbl 1263.20049
Reviewer: A. Caranti (Trento)
MSC:
20H20
On the complement of the Richardson orbit. (English) Zbl 1266.20058
Reviewer: Wilberd van der Kallen (Utrecht)
Regular orbits of symmetric subgroups on partial flag varieties. (English) Zbl 1348.17006
Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 61-86 (2012).
Reviewer: Yu-Feng Yao (Shanghai)
Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type. (English) Zbl 1251.20043
Reviewer: John D. Dixon (Ottawa)
Unipotent and nilpotent classes in simple algebraic groups and Lie algebras. (English) Zbl 1251.20001
Mathematical Surveys and Monographs 180. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6920-8/hbk). xii, 380 p. (2012).
Reviewer: Wilberd van der Kallen (Utrecht)
Global Cayley maps and conjugacy class sizes of maximal unipotent subgroups of finite simple groups of Lie type. (English) Zbl 1241.20021
Reviewer: Anatoli Kondrat’ev (Ekaterinburg)
Unipotence of the image of the representation of \(F_2(x,y)\) in \(\mathrm{GL}(7,\mathbb C)\) under a mapping of primitive elements into unipotent matrices. (Russian. English summary) Zbl 1247.20007
The representation image unipotency of the group \(F_2\) by mapping of primitive elements into unipotent matrices with small Jordan blocks. (Russian. English summary) Zbl 1236.20006
Conjugacy classes of large Abelian subgroups in the unipotent subgroup of a Chevalley group of type \(F_4\). (Russian. English summary) Zbl 1232.20050
Equidistribution of translates of curves on homogeneous spaces and Dirichlet’s approximation. (English) Zbl 1228.22014
Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1332-1343 (2011).
Reviewer: Thomas B. Ward (Norwich)
Measures invariant under horospherical subgroups in positive characteristic. (English) Zbl 1258.37034
Reviewer: Thomas B. Ward (Durham)
Unipotent elements in small characteristic. III. (With an appendix with T. Xue). (English) Zbl 1243.20061
Restricting unipotent characters in finite symplectic groups. (English) Zbl 1231.20013
Reviewer: Ye Jiachen (Shanghai)
\(\Delta\)-filtered modules and nilpotent orbits of a parabolic subgroup in \(\mathrm O_N\). (English) Zbl 1268.16016
Unipotence of the image of a representation of \(F_2(x,y)\) in \(\mathrm{GL}(6,\mathbb C)\) under the mapping of primitive elements into unipotent matrices. (Russian. English summary) Zbl 1247.20006
Two results for the automorphism group for partially commutative class two nilpotent groups. (Russian. English summary) Zbl 1249.20043
More variations on the decomposition of transvections. (English. Russian original) Zbl 1215.20048
J. Math. Sci., New York 171, No. 3, 322-330 (2010); translation from Zap. Nauchn. Semin. POMI 375, 32-47 (2010).
On conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup. (English. Russian original) Zbl 1219.20034
J. Math. Sci., New York 169, No. 5, 696-704 (2010); translation from Fundam. Prikl. Mat. 15, No. 7, 205-216 (2009).
On maximal unipotent subgroups of the general linear group over commutative rings. (English) Zbl 1224.20077
Deformation spaces for affine crystallographic groups. (English) Zbl 1226.57050
Ji, Lizhen (ed.) et al., Cohomology of groups and algebraic \(K\)-theory. Selected papers of the international summer school on cohomology of groups and algebraic \(K\)-theory, Hangzhou, China, July 1–3, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-144-5/pbk). Advanced Lectures in Mathematics (ALM) 12, 55-129 (2010).
Reviewer: Herbert Abels (Bielefeld)
Pseudo-reductive groups. (English) Zbl 1216.20038
New Mathematical Monographs 17. Cambridge: Cambridge University Press (ISBN 978-0-521-19560-7/hbk). xx, 533 p. (2010).
Reviewer: Ivan V. Arzhantsev (Tübingen)
Conditions for linear groups to have unipotent derived subgroups. (English) Zbl 1209.20043
Reviewer: Bui Xuan Hai (Ho Chi Minh City)
Subgroups of Lie type groups containing a unipotent radical. (English) Zbl 1206.20037
Reviewer: Theo Grundhöfer (Würzburg)
Counting conjugacy classes in the unipotent radical of parabolic subgroups of \(\text{GL}_n(q)\). (English) Zbl 1196.20055
Reviewer: Michael Bate (York)
Unipotence of the image of a representation of \(F_2(x,y)\) in \(\mathrm{GL}(5,\mathbb C)\) under a mapping of primitive elements into unipotent matrices. (Russian. English summary) Zbl 1247.20005
Automorphisms and normal structure of unipotent subgroups of finitary Chevalley groups. (English. Russian original) Zbl 1238.20064
Proc. Steklov Inst. Math. 267, Suppl. 1 (2009, Suppl. 3), S118-S127 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 2, 133-142 (2009).
Weight elements of Chevalley groups. (English. Russian original) Zbl 1206.20051
St. Petersbg. Math. J. 20, No. 1, 23-57 (2009); translation from Algebra Anal. 20, No. 1, 34-85 (2008).
Constructing arithmetic subgroups of unipotent groups. (English) Zbl 1229.20044
Reviewer: Manuel Avelino Insua Hermo (Noia)
Special units, unipotent units and free groups in group algebras. (English) Zbl 1195.16036
Giambruno, Antonio (ed.) et al., Groups, rings and group rings. International conference, Ubatuba, Brazil, July 28–August 2, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4771-8/pbk). Contemporary Mathematics 499, 127-140 (2009).
Reviewer: Eric Jespers (Brüssel)
On linear groups of degree \(2n\) containing a representation of the special linear group of degree \(n\). (English) Zbl 1204.20062
Normal structure of maximal parabolic subgroups in Chevalley groups over rings. (English) Zbl 1187.20060
Reviewer: L. N. Vaserstein (University Park)
On the restriction of characters of Steinberg-Tits triality group \(^3D_4(q)\) on unipotent classes. (English) Zbl 1203.20010
Reviewer: Morten E. Harris (Chicago)
Unipotent classes in maximal subgroups of exceptional algebraic groups. (English) Zbl 1179.20041
Reviewer: L. N. Vaserstein (University Park)
Algebraic structures related to universal covers of special rank one groups. (English) Zbl 1230.20030
Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\). (English) Zbl 1220.11071
Reviewer: Laurent Guillopé (Nantes)
Conjugacy classes in parabolic subgroups of general linear groups. With an appendix by Anton Evseev and George Wellen. (English) Zbl 1168.20021
Reviewer: Michael Bate (York)
Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type. (English) Zbl 1215.20045
Basic subsystems in the root systems \(B_n\) and \(D_n\) and associated coadjoint orbits. (Russian. English summary) Zbl 1322.20036
Geometry of 1-tori in \(\text{GL}_n\). (English. Russian original) Zbl 1202.20054
St. Petersbg. Math. J. 19, No. 3, 407-429 (2008); translation from Algebra Anal. 19, No. 3, 119-150 (2007).
Conjugacy in groups of finite Morley rank. (English) Zbl 1173.03033
Chatzidakis, Zoé (ed.) et al., Model theory with applications to algebra and analysis. Vol. 2. Cambridge: Cambridge University Press (ISBN 978-0-521-70908-8/pbk). London Mathematical Society Lecture Note Series 350, 1-58 (2008).
Reviewer: Adrien Deloro (Piscataway)
Automorphisms of Sylow \(p\)-subgroups of Chevalley groups over \(p\)-primary residue rings of integers. (English. Russian original) Zbl 1150.20034
J. Math. Sci., New York 152, No. 2, 220-246 (2008); translation from Fundam. Prikl. Mat. 12, No. 8, 121-158 (2006).
The normal structure of unipotent subgroups in Lie-type groups and related questions. (English. Russian original) Zbl 1156.20037
Dokl. Math. 77, No. 2, 284-287 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 5, 595-598 (2008).
Reviewer: B. A. F. Wehrfritz (London)
Jordan decomposition in lattices and quasi unipotence. (English) Zbl 1148.22007
Reviewer: Daniel Beltiţă (Bucureşti)
Algebraic groups and Lie groups with few factors. (English) Zbl 1176.20050
Lecture Notes in Mathematics 1944. Berlin: Springer (ISBN 978-3-540-78583-5/pbk). xvi, 206 p. (2008).
Reviewer: Ernest L. Stitzinger (Raleigh)
Parabolic conjugacy in general linear groups. (English) Zbl 1149.20041
Reviewer: Ye Jiachen (Shanghai)
Automorphisms of the unipotent subgroup \(U^1\) of the twisted group \(^2F_4(q)\). (Chinese. English summary) Zbl 1154.20041
Topics in the theory of algebraic groups. (English) Zbl 1161.20041
Geck, Meinolf (ed.) et al., Group representation theory. Based on the research semester “Group representation theory”, Lausanne, Switzerland, January – June, 2005. Boca Raton, FL: CRC Press; Lausanne: EPFL Press (ISBN 978-2-940222-12-4; 978-0-8493-9243-6). Fundamental Sciences: Mathematics, 355-404 (2007).
Reviewer: L. N. Vaserstein (University Park)
MSC:
20G15
A variant of the induction theorem for Springer representations. (English) Zbl 1128.20032
Reviewer: Wilberd van der Kallen (Utrecht)
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. (English) Zbl 1135.22002
Reviewer: Vasily A. Chernecky (Odessa)
On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2. (Russian, English) Zbl 1139.20011
Sib. Mat. Zh. 47, No. 5, 1031-1051 (2006); translation in Sib. Math. J. 47, No. 5, 844-861 (2006).
Weakly closed unipotent subgroups in Chevalley groups. (English) Zbl 1163.20002
Reviewer: Gernot Stroth (Halle)
On certain classes of unipotent groups. (Italian. English summary) Zbl 1187.20057
Irreducible subgroups in an orthogonal group. (English. Russian original) Zbl 1144.20312
J. Math. Sci., New York 130, No. 3, 4747-4751 (2005); translation from Zap. Nauchn. Semin. POMI 305, 187-194 (2003).
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