Found 126 Documents (Results 1–100)
Dominant weight associated with actions of real reductive groups. (English) Zbl 1532.53098
Reviewer: Martin Miglioli (Buenos Aires)
Linearization of holomorphic families of algebraic automorphisms of the affine plane. (English) Zbl 1537.14085
Reviewer: Tadeusz Krasiński (Łódź)
Bounded multiplicity branching for symmetric pairs. (English) Zbl 07700651
Reviewer: Pallav Goyal (Riverside)
Multiplicity in restricting minimal representations. (English) Zbl 1543.22013
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 3-20 (2022).
Reviewer: E. K. Narayanan (Bangalore)
A characterization of linearizability for holomorphic \(\mathbb{C}^*\)-actions. (English) Zbl 1503.32013
Reviewer: Jesus Muciño Raymundo (Morelia)
MSC:
32M17
Multiplicity in restricting small representations. (English) Zbl 1508.22009
Reviewer: Kyo Nishiyama (Aoyama)
Bounded multiplicity theorems for induction and restriction. (English) Zbl 1493.22014
Reviewer: Pierre Clare (Williamsburg)
Galois group action and Jordan decomposition of characters of finite reductive groups with connected center. (English) Zbl 1453.20027
Reviewer: Matthew Fayers (London)
Spaltenstein varieties of pure dimension. (English) Zbl 1431.14038
Reviewer: Christopher P. Bendel (Menomonie)
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)
On conjugacy of stabilizers of reductive group actions. (English. Russian original) Zbl 1432.14037
Math. Notes 105, No. 4, 580-581 (2019); translation from Mat. Zametki 105, No. 4, 589-591 (2019).
Real canonical forms for the adjoint action of the Lie groups \({\mathrm{Sp}}(V,B)\) and \({\mathrm{O}}(V,B)\) on their Lie algebras. (English) Zbl 1418.15009
Reviewer: Christopher P. Bendel (Menomonie)
Variation of geometric invariant theory quotients and derived categories. (English) Zbl 1432.14015
Reviewer: Arvid Siqveland (Kongsberg)
On solvable compact Clifford-Klein forms. (English) Zbl 1359.22012
Proc. Am. Math. Soc. 145, No. 4, 1819-1832 (2017); erratum ibid. 148, No. 6, 2743-2744 (2020).
Reviewer: V. V. Gorbatsevich (Moskva)
Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture. (English) Zbl 1347.22010
Math. Z. 283, No. 3-4, 979-992 (2016); erratum ibid 283, No. 3-4, 993-994 (2016).
Reviewer: V. V. Gorbatsevich (Moskva)
Homogeneous space with non-virtually abelian discontinuous groups but without any proper \(SL(2,\mathbb{R})\)-action. (English) Zbl 1343.57016
Reviewer: Oliver Goertsches (Marburg)
A restriction on proper group actions on homogeneous spaces of reductive type. (English) Zbl 1329.57038
Reviewer: Marja Kankaanrinta (Helsinki)
Convex bodies associated to actions of reductive groups. (English) Zbl 1284.14061
Reviewer: Vladimir L. Popov (Moskva)
Some transitive linear actions of real simple Lie groups. (English) Zbl 1241.22017
Reviewer: E. K. Narayanan (Bangalore)
Symplectic implosion and nonreductive quotients. (English) Zbl 1256.14048
van den Ban, Erik P. (ed.) et al., Geometric aspects of analysis and mechanics. In honor of the 65th birthday of Hans Duistermaat. Basel: Birkhäuser (ISBN 978-0-8176-8243-9/hbk; 978-0-8176-8244-6/ebook). Progress in Mathematics 292, 213-256 (2011).
Reviewer: Julien Keller (Marseille)
Stationary subalgebras in general position for locally strongly effective actions. (English. Russian original) Zbl 1230.22002
Math. Notes 88, No. 5, 661-677 (2010); translation from Mat. Zametki 88, No. 5, 689-707 (2010).
Reviewer: Vasily A. Chernecky (Odessa)
Spherical gradient manifolds. (English) Zbl 1214.32007
Reviewer: Eberhard Oeljeklaus (Bremen)
Proper actions of \(SL(2,\mathbb R)\) on \(SL(2,\mathbb R)\)-homogeneous spaces. (English) Zbl 1154.22025
Reviewer: A. Arvanitoyeorgos (Patras)
Deformations of cones of primitive vectors. (Déformations des cônes de vecteurs primitifs.) (French) Zbl 1126.14057
Reviewer: Bart Van Steirteghem (Lisboa)
Symplectic slices for actions of reductive groups. (English) Zbl 1152.14045
Sb. Math. 197, No. 2, 213-224 (2006); translation from Mat. Sb. 197, No. 2, 75-86 (2006).
Reviewer: Dmitri A. Timashev (Moskva)
Geometric invariant theory based on Weil divisors. (English) Zbl 1072.14057
Reviewer: Gerhard Pfister (Kaiserslautern)
On multiplicity free actions. (English) Zbl 1061.22017
Tan, Eng-Chye (ed.) et al., Representations of real and \(p\)-adic groups. Expanded lecture notes of the tutorials from the Inaugural Research Program on representation theory of Lie groups of the Institute for Mathematical Sciences, National University of Singapore, Singapore, July, 2002–January, 2003. River Edge, NJ: World Scientific; Singapore: Singapore University Press (ISBN 981-238-779-X/hbk). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 2, 221-304 (2004).
Reviewer: Uberto Cattaneo (Maggia)
Invariant differential operators and representations with spherical orbits. (English) Zbl 1039.20022
Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 419-424 (2002).
Reviewer: M. O. Nesterenko (Kyïv)
Differential forms and smoothness of quotients by reductive groups. (English) Zbl 1033.14034
Reviewer: Jörg Winkelmann (Vandœuvre-lés-Nancy)
The adjoint representation and the adjoint action. (English) Zbl 1036.17007
Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action. Berlin: Springer (ISBN 3-540-43211-6/hbk). Encycl. Math. Sci. 131(2), 159-238 (2002).
Reviewer: Vesselin Drensky (Sofia)
Projectivity of moment map quotients. (English) Zbl 0982.32020
Reviewer: Edoardo Ballico (Povo)
The \(R\)-matrix for (twisted) affine quantum algebras. (English) Zbl 1007.17012
Wang, Jianpan (ed.) et al., Representations and quantizations. Proceedings of the international conference on representation theory, Shanghai, China, June 29-July 3, 1998. Beijing: China Higher Education Press (CHEP). 89-144 (2000).
Reviewer: Jörg Feldvoss (Hamburg)
On fixed points of algebraic actions on \(\mathbb{C}^n\). (English. Russian original) Zbl 0989.14016
Funct. Anal. Appl. 34, No. 1, 33-40 (2000); translation from Funkts. Anal. Prilozh. 34, No. 1, 41-50 (2000).
Reviewer: Jürgen Hausen (Konstanz)
On the general faces of the moment polytope. (English) Zbl 0946.14025
Reviewer: Nikolai I.Osetinski (Moskva)
Actions of loop groups on the space of harmonic maps into reductive homogeneous spaces. (English) Zbl 0924.58013
Reviewer: V.Balan (Bucureşti)
Minimality and unique ergodicity for subgroup actions. (English) Zbl 0910.43010
Reviewer: K.Riives (Tartu)
On reductive group actions and fixed points. (English) Zbl 0898.22001
Reviewer: W.Soergel (Freiburg i.Br.)
MSC:
22E10
Submodule structure of generalized Verma modules induced from generic Gelfand-Zetlin modules. (English) Zbl 0908.17004
Reviewer: Mark R.Sepanski (Waco)
On the normality of the closures of spherical orbits. (English. Russian original) Zbl 0913.14014
Funct. Anal. Appl. 31, No. 4, 278-280 (1997); translation from Funkts. Anal. Prilozh. 31, No. 4, 66-69 (1997).
Reviewer: F.Kirwan (Oxford)
Three theorems on existence of good quotients. (English) Zbl 0870.14034
Reviewer: A.Białynicki-Birula (Warszawa)
Modules over commutative rings that act on groups. (Japanese) Zbl 0923.13009
Reviewer: Yuji Yoshino (MR 99e:13014)
Open subsets of projective spaces with a good quotient by an action of a reductive group. (English) Zbl 0912.14016
Reviewer: D.M.Snow (Notre Dame)
Challenging problems on affine \(n\)-space. (English) Zbl 0892.14003
Séminaire Bourbaki. Volume 1994/95. Exposés 790-804. Paris: Société Mathématique de France, Astérisque. 237, 295-317, Exp. No. 802 (1996).
Reviewer: E.Ballico (Povo)
Homogeneous varieties for semisimple groups of rank one. (English) Zbl 0860.14040
Reviewer: H.Reitberger (Innsbruck)
Characterizations of character sheaves for complex reductive algebraic groups. (English) Zbl 0831.20055
Reviewer: W.van der Kallen (Utrecht)
Coxeter structure and finite group action. (English) Zbl 0891.17007
Alev, J. (ed.) et al., Algèbre non commutative, groupes quantiques et invariants. Septième contact Franco-Belge, Reims, France, June 26–30, 1995. Paris: Société Mathématique de France. Sémin. Congr. 2, 185-219 (1995).
Reviewer: V.Drensky (Sofia)
Linear models for reductive group actions on affine quadrics. (English) Zbl 0819.14018
Reviewer: F.Kirwan (Oxford)
The Jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. (English) Zbl 0834.17003
Reviewer: A.A.Premet (Manchester)
Algebraic equivariant vector bundles and the linearity problem. (English) Zbl 0818.14019
Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: classical methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 1, 355-364 (1994).
Reviewer: L.Bădescu (Bucureşti)
MSC:
14L30
14F05
Non-linearizable algebraic group actions on \(\mathbb{A}^ n\). (English) Zbl 0817.14027
Reviewer: D.M.Snow (Notre Dame)
On minuscule representations, plane partitions and involutions in complex Lie groups. (English) Zbl 0805.22006
Reviewer: N.I.Osetinski (Moskva)
Orbital integrals on reductive Lie algebras. (Intégrales orbitales sur les algèbres de Lie réductives.) (French) Zbl 0814.22005
Reviewer: F.Rouvière (Nice)
On the generalized cycle map. (English) Zbl 0802.14009
The space of spectral measures is a homogeneous reductive space. (English) Zbl 0798.47009
Reviewer: B.P.Duggal (Al Khod / Oman)
Complexity of quasiaffine homogeneous varieties, \(t\)-decompositions, and affine homogeneous spaces of complexity 1. (English) Zbl 0763.14024
Lie groups, their discrete subgroups, and invariant theory, Adv. Sov. Math. 8, 151-166 (1992).
Reviewer: Y.Kuo (Knoxville)
Groups, generators, syzygies, and orbits in invariant theory. Transl. from the Russian by A. Martsinkovsky. (English) Zbl 0754.13005
Translations of Mathematical Monographs. 100. Providence, RI: American Mathematical Society (AMS). vi, 245 p. (1992).
Reviewer: H.Kurke (Berlin)
Contractions of the actions of reductive algebraic groups in arbitrary characteristic. (English) Zbl 0778.20018
Reviewer: Li Fuan (Beijing)
Equivariant algebraic vector bundles over representations of reductive groups: Theory. (English) Zbl 0753.14042
MSC:
14L30
14F05
A reduction theorem for existence of good quotients. (English) Zbl 0741.14031
Reviewer: D.M.Snow (Notre Dame)
Finiteness properties of certain arithmetic groups in the function field case. (English) Zbl 0819.20051
Reviewer: H.-J.Bartels (Mannheim)
On groups with a Cartan involution. (English) Zbl 0809.20033
Ramanan, S. (ed.), Proceedings of the Hyderabad conference on algebraic groups held at the School of Mathematics and Computer/Information Sciences of the University of Hyderabad, India, December 1989. Madras: Manoj Prakashan. 151-192 (1991).
Reviewer: Chen Zhijie (Shanghai)
Properties of extension and contraction operators of ideals of invariant algebras of reductive groups in positive characteristic. (English. Russian original) Zbl 0778.13002
Funct. Anal. Appl. 25, No. 4, 273-280 (1991); translation from Funkts. Anal. Prilozh. 25, No. 4, 53-61 (1991).
On properties of extension and contraction operations of ideals of invariant algebras of reductive groups in positive characteristics. (Russian. Russian original) Zbl 0742.13003
Reviewer: A.E.Zalesskij (Minsk)
Invariante Kegel in Cartan-Algebren. (Invariant cones in Cartan algebras). (German) Zbl 0746.22014
Reviewer: J.D.Lawson (Baton Rouge)
Nonlinearizable operations of semisimple groups on affine spaces. (Nichtlinearisierbare Operationen halbeinfacher Gruppen auf affinen Räumen.) (German) Zbl 0739.20019
Reviewer: K.H.Hofmann (Darmstadt)
On flag varieties, hyperplane complements and Springer representations of Weyl groups. (English) Zbl 0729.20017
Reviewer: V.Lakshmibai (Boston)
Weylgruppe und Momentabbildung. (Weyl group and moment map). (German) Zbl 0726.20031
Reviewer: V.L.Popov (Moskva)
Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs. II. (The invariant Paley-Wiener theorem for reductive Lie groups. II). (French) Zbl 0724.22012
Reviewer: V.F.Molchanov (Tambov)
Some results on the Eisenstein cohomology of arithmetic subgroups of \(GL_ n\). (English) Zbl 0719.11034
Cohomology of arithmetic groups and automorphic forms, Proc. Conf., Luminy/Fr. 1989, Lect. Notes Math. 1447, 85-153 (1990).
Reviewer: J.Schwermer (Eichstätt)
The Bruhat order on symmetric varieties. (English) Zbl 0704.20039
Reviewer: V.Lakshmibai
A classification of a certain class of reductive prehomogeneous vector spaces. II. (English) Zbl 0688.20024
Reviewer: M.Muro
\(\mathbb{C}^*\)-actions on affine space. (English) Zbl 0747.14014
Operator algebras, unitary representations, enveloping algebras, and invariant theory, Proc. Colloq. in Honour of J. Dixmier, Paris/Fr. 1989, Prog. Math. 92, 561-579 (1990).
Reviewer: G.A.Soifer (Kemerovo)
The slice theorem for algebraic transformation groups. – Appendix: Proof of the fundamental lemma and of the slice theorem (by Friedrich Knop). (Der Scheibensatz für algebraische Transformationsgruppen. – Anhang: Beweis des Fundamentallemmas und des Scheibensatzes (von Friedrich Knop).) (German) Zbl 0722.14031
Algebraische Transformationsgruppen und Invariantentheorie, DMV Semin. 13, 89-113; Anhang: 110-113 (1989).
Reviewer: K.Drechsler (Halle-Neustadt)
Kasparov products, KK-equivalence, and proper actions of connected reductive Lie groups. (English) Zbl 0713.46045
Reviewer: V.Deundyak
MSC:
46L80
Closed orbits of Borel subgroups. (English. Russian original) Zbl 0713.20036
Math. USSR, Sb. 63, No. 2, 375-392 (1989); translation from Mat. Sb., Nov. Ser. 135(177), No. 3, 385-402 (1988).
Relèvement des caractères d’un groupe endoscopique pour le changement de base \({\mathbb{C}}/{\mathbb{R}}\). (Lifting of characters of an endoscopic group for the base change \({\mathbb{C}}/{\mathbb{R}})\). (French) Zbl 0708.22004
Orbites unipotentes et représentations. II: Groupes p-adiques et réels, Astérisque 171-172, 163-194 (1989).
Reviewer: J.F.Johnson
MSC:
22E45
Equivariant completions and tensor products. (English) Zbl 0705.14009
Group actions and invariant theory, Proc. Conf., Montreal/Can. 1988, CMS Conf. Proc. 10, 133-136 (1989).
Reviewer: G.Horrocks
Reductive group actions on affine space with one-dimensional quotient. (English) Zbl 0704.14039
Group actions and invariant theory, Proc. Conf., Montreal/Can. 1988, CMS Conf. Proc. 10, 125-132 (1989).
Reviewer: D.M.Snow
MSC:
14L30
On some reductive group actions on affine space. (English) Zbl 0701.14041
Group actions and invariant theory, Proc. Conf., Montreal/Can. 1988, CMS Conf. Proc. 10, 67-72 (1989).
Reviewer: Li Fuan
Fixed point free algebraic actions on varieties diffeomorphic to \(R^ n\). (English) Zbl 0695.57021
Topological methods in algebraic transformation groups, Proc. Conf., New Brunswick/NJ (USA) 1988, Prog. Math. 80, 49-80 (1989).
Reviewer: K.Pawałowski
The canonical module of a ring of invariants. (English) Zbl 0693.14005
Invariant theory, Proc. AMS Spec. Sess., Denton/Tex. 1986, Contemp. Math. 88, 43-83 (1989).
Reviewer: W.W.J.Hulsbergen
Stability and equivariant maps. (English) Zbl 0675.14021
Reviewer: F.Herrlich
Proper action on a homogeneous space of reductive type. (English) Zbl 0662.22008
Reviewer: Toshiyuki Kobayashi (Tokyo)
Invariant theory for linear algebraic groups. II (char k arbitrary). (English) Zbl 0683.14011
Reviewer: H.-J.Bartels
Characters, harmonic analysis, and an \(L^ 2\)-Lefschetz formula. (English) Zbl 0671.22007
The mathematical heritage of Hermann Weyl, Proc. Symp., Durham/NC 1987, Proc. Symp. Pure Math. 48, 167-179 (1988).
Reviewer: J.G.M.Mars
Homology of the zero-set of a nilpotent vector field on a flag manifold. (English) Zbl 0646.14034
Reviewer: F.Kirwan
On conjugating representations and adjoint representations of semisimple groups. (English) Zbl 0639.20021
Reviewer: H.H.Andersen
Equivariant completions of rings with reductive group action. (English) Zbl 0655.14019
Reviewer: H.Yanagihara
Orbits and stabilizers of nilpotent elements of a graded semisimple Lie algebra. (English) Zbl 0651.20046
Reviewer: E.Abe
Generalized moment functions and orbit spaces. (English) Zbl 0624.14009
Reviewer: L.Bădescu
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