# zbMATH — the first resource for mathematics

## Representation Theory

### An Electronic Journal of the American Mathematical Society

 Short Title: Represent. Theory Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 1088-4165/e Online: https://www.ams.org/journals/ert/all_issues.html Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1997). This journal is available open access.
 Documents Indexed: 445 Publications (since 1997) References Indexed: 444 Publications with 9,845 References.
all top 5

#### Latest Issues

 25 (2021) 24 (2020) 23 (2019) 22 (2018) 21 (2017) 20 (2016) 19 (2015) 18 (2014) 17 (2013) 16 (2012) 15 (2011) 14 (2010) 13 (2009) 12 (2008) 11 (2007) 10 (2006) 9 (2005) 8 (2004) 7 (2003) 6 (2002) 5 (2001) 4 (2000) 3 (1999) 2 (1998) 1 (1997)
all top 5

#### Authors

 47 Lusztig, George 9 Geck, Meinolf 6 Malle, Gunter 6 Soergel, Wolfgang 6 Yun, Zhiwei 5 Achar, Pramod N. 5 Etingof, Pavel Il’ich 4 Bezrukavnikov, Roman 4 Chari, Vyjayanthi 4 Ciubotaru, Dan 4 Gan, Wee Teck 4 He, Xuhua 4 Henderson, Anthony 4 Jantzen, Chris 4 Kottwitz, Robert Edward 4 Neeb, Karl-Hermann 4 Xue, Ting 3 Baumann, Pierre 3 Bédard, Robert 3 Bravi, Paolo 3 Brion, Michel 3 Brundan, Jonathan 3 Ginzburg, Victor 3 Hakim, Jeffrey L. 3 Huang, Jing-Song 3 Knop, Friedrich 3 Lapid, Erez Moshe 3 Letzter, Gail 3 Liu, Baiying 3 Moy, Allen 3 Navarro, Gabriel 3 Noël, Alfred G. 3 Okado, Masato 3 Ólafsson, Gestur 3 Renard, David A. 3 Savin, Gordan 3 Sergeev, Aleksandr Nikolaevich 3 Shoji, Toshiaki 3 Sommers, Eric N. 3 Stembridge, John R. 3 Stroppel, Catharina H. 3 Tadić, Marko 3 Tiep Pham Huu 3 Tingley, Peter W. 2 Adams, Jeffrey David 2 Backelin, Erik 2 Balagović, Martina 2 Ban, Dubravka 2 Barbasch, Dan M. 2 Baur, Karin 2 Bonnafé, Cédric 2 Caldero, Philippe 2 Casselman, William A. 2 Cunningham, Clifton L. R. 2 Đoković, Dragomir Ž. 2 Doty, Stephen R. 2 Douglass, J. Matthew 2 Fayers, Matthew 2 Feigin, Evgeny 2 Finkelberg, Michael Vladlenovich 2 Fresse, Lucas 2 Gordon, Julia 2 Greenstein, Jacob 2 Gross, Benedict Hyman 2 Guralnick, Robert Michael 2 Haines, Thomas J. 2 Hales, Thomas Callister 2 Herb, Rebecca A. 2 Hilgert, Joachim 2 Hiss, Gerhard 2 Hu, Jun 2 Ion, Bogdan 2 Kamnitzer, Joel 2 Kim, Ju-Lee 2 Kleshchev, Alexander S. 2 Knapp, Anthony William 2 Kolb, Stefan 2 Krötz, Bernhard J. 2 Leclerc, Bernard 2 Losev, Ivan V. 2 Lübeck, Frank 2 Lysenko, Sergey 2 Mao, Zhengyu 2 Marsh, Robert James 2 Molev, Alexander I. 2 Morotti, Lucia 2 Neunhöffer, Max 2 Nevins, Monica 2 Norton, Emily 2 Pezzini, Guido 2 Polo, Patrick 2 Pressley, Andrew 2 Quinlan, Rachel 2 Rallis, Stephen James 2 Ram, Arun 2 Reeder, Mark 2 Reineke, Markus 2 Riche, Simon 2 Ryba, Christopher 2 Sahi, Siddhartha ...and 335 more Authors
all top 5

#### Fields

 230 Group theory and generalizations (20-XX) 168 Topological groups, Lie groups (22-XX) 146 Nonassociative rings and algebras (17-XX) 77 Algebraic geometry (14-XX) 53 Number theory (11-XX) 50 Associative rings and algebras (16-XX) 38 Combinatorics (05-XX) 20 Category theory; homological algebra (18-XX) 12 Quantum theory (81-XX) 9 Commutative algebra (13-XX) 9 $$K$$-theory (19-XX) 9 Abstract harmonic analysis (43-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

359 Publications have been cited 3,616 times in 2,626 Documents Cited by Year
A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117
Khovanov, Mikhail; Lauda, Aaron D.
2009
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
2001
Kazhdan-Lusztig polynomials and a combinatorics for tilting modules. Zbl 0886.05123
Soergel, Wolfgang
1997
Highest weight categories arising from Khovanov’s diagram algebra. III: Category $$\mathcal O$$. Zbl 1261.17006
Brundan, Jonathan; Stroppel, Catharina
2011
$$t$$-analogs of $$q$$-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008
Nakajima, Hiraku
2003
Total positivity in partial flag manifolds. Zbl 0895.14014
Lusztig, G.
1998
Height 0 characters of finite groups of Lie type. Zbl 1139.20008
Malle, Gunter
2007
Soergel calculus. Zbl 1427.20006
Elias, Ben; Williamson, Geordie
2016
Category $$\mathcal O$$: quivers and endomorphism rings of projectives. Zbl 1050.17005
Stroppel, Catharina
2003
Hecke-Clifford superalgebras, crystals of type $$A_{2\ell}^{(2)}$$ and modular branching rules for $$\widehat{S}_n$$. Zbl 1005.17010
Brundan, Jonathan; Kleshchev, Alexander
2001
Character formulas for tilting modules over quantum groups at roots of one. (Charakterformeln für Kipp-Moduln über Kac-Moody-Algebren.) Zbl 0964.17019
Soergel, Wolfgang
1997
Character formulas for tilting modules over Kac-Moody algebras. Zbl 0964.17018
Soergel, Wolfgang
1998
Centers of degenerate cyclotomic Hecke algebras and parabolic category $$\mathcal O$$. Zbl 1202.20008
Brundan, Jonathan
2008
Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009
2008
Twisting functors on $${\mathcal O}$$. Zbl 1051.17004
Andersen, Henning Haahr; Stroppel, Catharina
2003
Parametrizations of flag varieties. Zbl 1053.14057
Marsh, R. J.; Rietsch, K.
2004
Multiplicity-free products and restrictions of Weyl characters. Zbl 1060.17001
Stembridge, John R.
2003
Virtual crystals and fermionic formulas of type $$D_{n+1}^{(2)}$$, $$A_{2n}^{(2)}$$, and $$C_n^{(1)}$$. Zbl 1026.81024
Okado, Masato; Schilling, Anne; Shimozono, Mark
2003
Kazhdan-Lusztig polynomials and a combinatorics for tilting modulus. (Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln.) Zbl 0886.05124
Soergel, Wolfgang
1997
Whittaker modules for generalized Weyl algebras. Zbl 1251.16020
Benkart, Georgia; Ondrus, Matthew
2009
On minimal representations definitions and properties. Zbl 1092.22012
Gan, Wee Teck; Savin, Gordan
2005
The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046
Cox, Anton; De Visscher, Maud; Martin, Paul
2009
$$U({\mathfrak g})$$-finite locally analytic representations. Zbl 1028.17007
Schneider, P.; Teitelbaum, J.; Prasad, Dipendra
2001
From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045
Lusztig, G.
2011
Orbits in the flag variety and images of the moment map for classical groups. I. Zbl 0887.22017
Yamamoto, Atsuko
1997
Generic extensions and multiplicative bases of quantum groups at $$q=0$$. Zbl 1050.17015
Reineke, Markus
2001
Koszul duality for parabolic and singular category $$\mathcal O$$. Zbl 0999.17029
Backelin, Erik
1999
Left cells in type $$B_n$$ with unequal parameters. Zbl 1070.20004
Bonnafé, Cédric; Iancu, Lacrimioara
2003
A geometric approach to Standard Monomial Theory. Zbl 1053.14056
Brion, M.; Lakshmibai, V.
2003
Harish-Chandra bimodules for quantized Slodowy slices. Zbl 1250.17007
Ginzburg, Victor
2009
Cherednik algebras and Hilbert schemes in characteristic $$p$$. With an appendix by Pavel Etingof. Zbl 1130.14005
Bezrukavnikov, Roman; Finkelberg, Michael; Ginzburg, Victor
2006
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
1997
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
2002
Representations of graded Hecke algebras. Zbl 1057.20003
Kriloff, Cathy; Ram, Arun
2002
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
2004
Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. Zbl 1065.20055
Bezrukavnikov, Roman
2003
Bases in equivariant $$K$$-theory. Zbl 0901.20034
Lusztig, G.
1998
The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014
Sergeev, Alexander
1999
Purity of equivalued affine Springer fibers. Zbl 1133.22013
Goresky, Mark; Kottwitz, Robert; Macpherson, Robert
2006
Classification of unipotent representations of simple $$p$$-adic groups. II. Zbl 1016.22011
Lusztig, G.
2002
The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016
Sergeev, Alexander
1999
On Koszul duality for Kac-Moody groups. Zbl 1326.20051
Bezrukavnikov, Roman; Yun, Zhiwei
2013
Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005
Etingof, Pavel; Stoica, Emanuel
2009
Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040
Guralnick, Robert M.; Tiep, Pham Huu
2005
The Fourier-Jacobi map and small representations. Zbl 1065.22015
Weissman, Martin H.
2003
Degenerate principal series for even-orthogonal groups. Zbl 1054.22015
Ban, Dubravka; Jantzen, Chris
2003
Presenting generalized $$q$$-Schur algebras. Zbl 1030.17011
Doty, Stephen
2003
Localization in quiver moduli spaces. Zbl 1302.14010
Weist, Thorsten
2013
Some closed formulas for canonical bases of Fock spaces. Zbl 1030.17014
Leclerc, Bernard; Miyachi, Hyohe
2002
Finite quaternionic matrix groups. Zbl 0901.20035
Nebe, Gabriele
1998
Wall-crossing functors and $${\mathcal{D}}$$-modules. Zbl 0910.05068
Beilinson, Alexander; Ginzburg, Victor
1999
Bases in equivariant $$K$$-theory. II. Zbl 0999.20036
Lusztig, G.
1999
The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings. Zbl 0999.17031
Shchepochkina, Irina
1999
The PBW filtration. Zbl 1229.17026
Feigin, Evgeny
2009
Deligne’s category $$\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})$$ and representations of general linear supergroups. Zbl 1302.17010
Comes, Jonathan; Wilson, Benjamin
2012
Double affine Hecke algebras and Calogero-Moser spaces. Zbl 1078.20004
Oblomkov, Alexei
2004
Kazhdan-Lusztig cells and decomposition numbers. Zbl 0901.20004
Geck, Meinolf
1998
$$p$$-rational characters and self-normalizing Sylow $$p$$-subgroups. Zbl 1146.20005
Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre
2007
Duality for admissible locally analytic representations. Zbl 1146.22301
Schneider, Peter; Teitelbaum, Jeremy
2005
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
2004
Character values, Schur indices and character sheaves. Zbl 1065.20019
Geck, Meinolf
2003
On certain small representations of indefinite orthogonal groups. Zbl 0887.22016
Zhu, Chen-bo; Huang, Jing-Song
1997
Functions on the model orbit in $$E_{8}$$. Zbl 0909.22027
Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun.
1998
Transfer factors for Lie algebras. Zbl 1044.22011
Kottwitz, Robert E.
1999
Tempered endoscopy for real groups. III: Inversion of transfer and $$L$$-packet structure. Zbl 1159.22007
2008
On the classification of irreducible representations of affine Hecke algebras with unequal parameters. Zbl 1272.20003
Solleveld, Maarten
2012
Wonderful varieties of type $$D$$. Zbl 1222.14099
Bravi, Paolo; Pezzini, Guido
2005
Relative Kazhdan-Lusztig cells. Zbl 1139.20003
Geck, Meinolf
2006
The bar involution for quantum symmetric pairs. Zbl 1376.17018
Balagović, Martina; Kolb, Stefan
2015
On some representations of the rational Cherednik algebra. Zbl 1070.20005
Chmutova, Tatyana; Etingof, Pavel
2003
Counterexamples to the 0-1 conjecture. Zbl 1014.05068
McLarnan, Timothy J.; Warrington, Gregory S.
2003
Geometry of second adjointness for $$p$$-adic groups. (With an appendix by Yakov Varshavsky, Roman Bezrukavnikov and David Kazhdan). Zbl 1344.20064
Bezrukavnikov, Roman; Kazhdan, David
2015
On certain Arthur packets and a generalized Aubert-Schneider-Stuhler involution. (Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée.) Zbl 1139.22015
Moeglin, C.
2006
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
2005
Character families of complex reflection groups. (Familles de caractères de groupes de réflexions complexes.) Zbl 1072.20007
Malle, Gunter; Rouquier, Raphaël
2003
Large Schubert varieties. Zbl 0947.14026
Brion, Michel; Polo, Patrick
2000
On Mirković-Vilonen cycles and crystal combinatorics. Zbl 1217.20028
Baumann, Pierre; Gaussent, Stéphane
2008
Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups. Zbl 1233.17011
Mériaux, Antoine; Cauchon, Gérard
2010
Automorphisms of complex reflection groups. Zbl 1220.20036
Marin, I.; Michel, Jean
2010
Theta correspondences for $$\text{GSp}(4)$$. Zbl 1239.11062
Gan, Wee Teck; Takeda, Shuichiro
2011
Howe quotients of unitary characters and unitary lowest weight modules. (With an appendix by Soo Teck Lee). Zbl 1133.22005
Loke, Hung Yean
2006
Dirac operators and Lie algebra cohomology. Zbl 1134.22011
Huang, Jing-Song; Pandžić, Pavle; Renard, David
2006
Jacquet modules of $$p$$-adic general linear groups. Zbl 1139.22014
Jantzen, Chris
2007
Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups. Zbl 0968.14029
Polo, Patrick
1999
On the asymptotics of Whittaker functions. Zbl 1193.22016
Lapid, Erez; Mao, Zhengyu
2009
Hall polynomials for affine quivers. Zbl 1241.16011
Hubery, Andrew
2010
Preprojective algebras and MV polytopes. Zbl 1242.05273
Baumann, Pierre; Kamnitzer, Joel
2012
Character sheaves on disconnected groups. VII. Zbl 1078.20047
Lusztig, G.
2005
Constructible characters, leading coefficients and left cells for finite Coxeter groups with unequal parameters. Zbl 1042.20004
Geck, Meinolf
2002
Isogenies of Hecke algebras and a Langlands correspondence for ramified principal series representations. Zbl 0999.22021
Reeder, Mark
2002
On the equivariant $$K$$-theory of the nilpotent cone. Zbl 0986.20045
Ostrik, Viktor
2000
On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups. Zbl 0983.20006
Geck, Meinolf
2000
Periodic $$W$$-graphs. Zbl 0895.20031
Lusztig, G.
1997
Hecke algebra representations related to spherical varieties. Zbl 0887.14026
Mars, J. G. M.; Springer, T. A.
1998
Involutions in Weyl groups. Zbl 1045.22500
Kottwitz, Robert E.
2000
Harish-Chandra modules for quantum symmetric pairs. Zbl 0999.17023
Letzter, Gail
2000
The Weil-Steinberg character of finite classical groups. With an appendix by Olivier Brunat. Zbl 1233.20015
Hiss, G.; Zalesski, A.
2009
Double affine Hecke algebras at roots of unity. Zbl 1280.20005
Varagnolo, M.; Vasserot, E.
2010
Finite dimensional representations of symplectic reflection algebras associated to wreath products. Zbl 1153.16011
Etingof, Pavel; Montarani, Silvia
2005
Crystal structures arising from representations of $$\text{GL}(m|n)$$. Zbl 1196.17011
Kujawa, Jonathan
2006
Finite dimensional semigroups of unitary endomorphisms of standard subspaces. Zbl 07355572
Neeb, Karl-H.
2021
Cohomological representations of parahoric subgroups. Zbl 07308589
Chan, Charlotte; Ivanov, Alexander
2021
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes. Zbl 07346757
Montealegre-Mora, Felipe; Gross, David
2021
Eulerianity of Fourier coefficients of automorphic forms. Zbl 07368912
Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha
2021
Irreducible tensor products of representations of covering groups of symmetric and alternating groups. Zbl 07368915
Morotti, Lucia
2021
The Grothendieck group of unipotent representations: a new basis. Zbl 07226609
Lusztig, G.
2020
Resolving irreducible $$\mathbb{C}S_n$$-modules by modules restricted from $$\mathrm{GL}_n(\mathbb{C})$$. Zbl 1444.05148
Ryba, Christopher
2020
Spinoriality of orthogonal representations of reductive groups. Zbl 07253457
Joshi, Rohit; Spallone, Steven
2020
Irreducible restrictions of representations of alternating groups in small characteristics: reduction theorems. Zbl 07182051
Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu
2020
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis. Zbl 07270340
Fang, Ming; Lim, Kay Jin; Tan, Kai Meng
2020
Cartan subalgebras for quantum symmetric pair coideals. Zbl 07031894
Letzter, Gail
2019
Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 07121930
Molev, Alexander; Yakimova, Oksana
2019
Rationality of blocks of quasi-simple finite groups. Zbl 07121929
2019
Quiver varieties and symmetric pairs. Zbl 1403.16009
Li, Yiqiang
2019
An Euler-Poincaré formula for a depth zero Bernstein projector. Zbl 1423.22017
Barbasch, Dan; Ciubotaru, Dan; Moy, Allen
2019
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials. Zbl 07051109
Lanini, Martina; Ram, Arun
2019
A new basis for the representation ring of a Weyl group. Zbl 07137069
Lusztig, G.
2019
Duality for classical $$p$$-adic groups: the half-integral case. Zbl 1414.22020
Jantzen, Chris
2018
Dualities for root systems with automorphisms and applications to non-split groups. Zbl 1430.20005
Haines, Thomas J.
2018
Constructing tame supercuspidal representations. Zbl 1451.11041
Hakim, Jeffrey
2018
On pro-$$p$$-Iwahori invariants of $$R$$-representations of reductive $$p$$-adic groups. Zbl 06989108
Abe, N.; Henniart, G.; Vignéras, M.-F.
2018
Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045
Lusztig, G.
2018
$$\mathbb {Z}/m\mathbb {Z}$$-graded Lie algebras and perverse sheaves. III: Graded double affine Hecke algebra. Zbl 1451.17010
Lusztig, George; Yun, Zhiwei
2018
Hecke modules based on involutions in extended Weyl groups. Zbl 07007116
Lusztig, G.
2018
Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015
Bao, Huanchen
2017
Inductive McKay condition for finite simple groups of type $$\mathsf {C}$$. Zbl 06731322
Cabanes, Marc; Späth, Britta
2017
On the local Langlands correspondence and Arthur conjecture for even orthogonal groups. Zbl 1419.11088
Atobe, Hiraku; Gan, Wee Teck
2017
$$\mathbb Z/m$$-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035
Lusztig, George; Yun, Zhiwei
2017
Cusp forms for reductive symmetric spaces of split rank one. Zbl 1401.22013
van den Den Ban, Erik P.; Kuit, Job J.
2017
Dual Bernstein center for classical groups. (Centre de Bernstein dual pour les groupes classiques.) Zbl 1379.22016
Moussaoui, Ahmed
2017
Resonances for the Laplacian on Riemannian symmetric spaces: the case of $$\mathrm {SL}(3,\mathbb {R})/\mathrm {SO}(3)$$. Zbl 1394.43004
Hilgert, J.; Pasquale, A.; Przebinda, T.
2017
Positivity in $$T$$-equivariant $$K$$-theory of flag varieties associated to Kac-Moody groups. II. Zbl 1390.19010
Baldwin, Seth; Kumar, Shrawan
2017
The Peterson variety and the wonderful compactification. Zbl 1428.20040
Bălibanu, Ana
2017
Face functors for KLR algebras. Zbl 1427.17027
McNamara, Peter J.; Tingley, Peter
2017
The unicity of types for depth-zero supercuspidal representations. Zbl 1464.22003
Latham, Peter
2017
$$\mathbb Z/m$$-graded Lie algebras and perverse sheaves. II. Zbl 1419.17036
Lusztig, George; Yun, Zhiwei
2017
Lowest $$\mathfrak {sl}(2)$$-types in $$\mathfrak{sl}(n)$$-representations. Zbl 1419.17014
Lhou, Hassan; Willenbring, Jeb F.
2017
A lower bound for the dimension of a highest weight module. Zbl 1429.17010
Goldstein, Daniel; Guralnick, Robert; Stong, Richard
2017
Coincidence of algebraic and smooth theta correspondences. Zbl 1378.22008
Bao, Yixin; Sun, Binyong
2017
Soergel calculus. Zbl 1427.20006
Elias, Ben; Williamson, Geordie
2016
Raising nilpotent orbits in wave-front sets. Zbl 1417.11087
Jiang, Dihua; Liu, Baiying; Savin, Gordan
2016
An involution based left ideal in the Hecke algebra. Zbl 1378.20004
Lusztig, G.
2016
On the Jacquet conjecture on the local converse problem for $$p$$-adic $$\mathrm{GL}_N$$. Zbl 1409.11042
Adrian, Moshe; Liu, Baiying; Stevens, Shaun; Xu, Peng
2016
A Murnaghan-Nakayama rule for values of unipotent characters in classical groups. Zbl 1376.20015
Lübeck, Frank; Malle, Gunter
2016
Quivers with relations for symmetrizable Cartan matrices. III: Convolution algebras. Zbl 1362.16018
Geiß, Christof; Leclerc, Bernard; Schröer, Jan
2016
Projective normality of model varieties and related results. Zbl 1395.14039
Bravi, Paolo; Gandini, Jacopo; Maffei, Andrea
2016
Locally analytic representations of $$\mathrm{GL}_2(\mathbb{Q}_p)$$ and $$(\varphi ,\Gamma)$$-modules. (Représentations localement analytiques de $$\mathrm{GL}_2(\mathbb{Q}_p)$$ et $$(\varphi ,\Gamma)$$-modules.) Zbl 1354.22021
Colmez, Pierre
2016
Dimensions of some locally analytic representations. Zbl 1397.22016
Schmidt, Tobias; Strauch, Matthias
2016
On equivalences for cohomological Mackey functors. Zbl 1350.20005
Linckelmann, Markus
2016
The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101
Vilonen, Kari; Xue, Ting
2016
Twisted Demazure modules, fusion product decomposition and twisted $$Q$$-systems. Zbl 1397.17029
Kus, Deniz; Venkatesh, R.
2016
On the exotic Grassmannian and its nilpotent variety. Zbl 1364.14038
Fresse, Lucas; Nishiyama, Kyo
2016
A canonical dimension estimate for non-split semisimple $$p$$-adic Lie groups. Zbl 1397.22013
Ardakov, Konstantin; Johansson, Christian
2016
The bar involution for quantum symmetric pairs. Zbl 1376.17018
Balagović, Martina; Kolb, Stefan
2015
Geometry of second adjointness for $$p$$-adic groups. (With an appendix by Yakov Varshavsky, Roman Bezrukavnikov and David Kazhdan). Zbl 1344.20064
Bezrukavnikov, Roman; Kazhdan, David
2015
Geometric Satake, Springer correspondence, and small representations. II. Zbl 1407.17008
Achar, Pramod N.; Henderson, Anthony; Riche, Simon
2015
Unipotent representations as a categorical centre. Zbl 1360.20041
Lusztig, G.
2015
On the character of certain irreducible modular representations. Zbl 1316.20049
Lusztig, G.
2015
Integrability of unitary representations on reproducing kernel spaces. Zbl 1355.17005
Merigon, Stéphane; Neeb, Karl-Hermann; Ólafsson, Gestur
2015
Hecke modules and supersingular representations of U(2,1). Zbl 1315.22021
Kozioł, Karol; Xu, Peng
2015
Regular functions of symplectic spherical nilpotent orbits and their quantizations. Zbl 1397.22012
Wong, Kayue Daniel
2015
The involution modulo Zelevinsky $$\ell$$. (L’involution de Zelevinski modulo $$\ell$$.) Zbl 1326.22017
Mínguez, Alberto; Sécherre, Vincent
2015
A Katsylo theorem for sheets of spherical conjugacy classes. Zbl 1360.20043
Carnovale, Giovanna; Esposito, Francesco
2015
Some power series involving involutions in Coxeter groups. Zbl 1348.20042
Lusztig, G.
2015
Quantum supergroups. II: Canonical basis. Zbl 1359.17024
Clark, Sean; Hill, David; Wang, Weiqiang
2014
Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case. Zbl 1307.20007
Marberg, Eric
2014
Two-sided BGG resolutions of admissible representations. Zbl 1367.17019
Arakawa, Tomoyuki
2014
On an analogue of the James conjecture. Zbl 1316.20002
Williamson, Geordie
2014
Homological approach to the Hernandez-Leclerc construction and quiver varieties. Zbl 1306.14023
Cerulli Irelli, Giovanni; Feigin, Evgeny; Reineke, Markus
2014
Conjugacy classes of involutions and Kazhdan-Lusztig cells. Zbl 1314.20002
Bonnafé, Cédric; Geck, Meinolf
2014
Distinguished conjugacy classes and elliptic Weyl group elements. Zbl 1303.20052
Lusztig, G.
2014
Evaluating characteristic functions of character sheaves at unipotent elements. Zbl 1332.20049
Taylor, Jay
2014
On representations of rational Cherednik algebras of complex rank. Zbl 1342.20002
Aizenbud, Inna Entova
2014
On the theta correspondence for $$(\mathrm{GSp}(4), \mathrm{GSO}(4,2))$$ and Shalika periods. Zbl 1322.11038
Morimoto, Kazuki
2014
Cyclotomic Carter-Payne homomorphisms. Zbl 1339.20005
2014
Borel subgroups adapted to nilpotent elements of standard Levi type. Zbl 1393.17015
Fresse, Lucas
2014
On Koszul duality for Kac-Moody groups. Zbl 1326.20051
Bezrukavnikov, Roman; Yun, Zhiwei
2013
Localization in quiver moduli spaces. Zbl 1302.14010
Weist, Thorsten
2013
Demazure modules and graded limits of minimal affinizations. Zbl 1302.17014
Naoi, Katsuyuki
2013
Cohomological finite generation for restricted Lie superalgebras and finite supergroup schemes. Zbl 1302.17031
Drupieski, Christopher M.
2013
Spin polynomial functors and representations of Schur superalgebras. Zbl 1302.18008
Axtell, Jonathan
2013
On isomorphisms of certain functors for Cherednik algebras. Zbl 1284.20003
Losev, Ivan
2013
Endomorphism algebras of admissible $$p$$-adic representations of $$p$$-adic Lie groups. Zbl 1432.22018
Dospinescu, Gabriel; Schraen, Benjamin
2013
Frobenius-Schur indicators of unipotent characters and the twisted involution module. Zbl 1306.20006
Geck, Meinolf; Malle, Gunter
2013
Indecomposables live in all smaller lengths. Zbl 1317.16007
Bongartz, Klaus
2013
Rank 2 affine MV polytopes. Zbl 1302.17037
Baumann, Pierre; Dunlap, Thomas; Kamnitzer, Joel; Tingley, Peter
2013
Tame supercuspidal representations of $$\mathrm{GL}_{n}$$ distinguished by orthogonal involutions. Zbl 1274.22010
Hakim, Jeffrey
2013
The 2-blocks of defect 4. Zbl 1311.20008
Külshammer, Burkhard; Sambale, Benjamin
2013
On the characters of unipotent representations of a semisimple $$p$$-adic group. Zbl 1302.22012
Kim, Ju-Lee; Lusztig, George
2013
Representations of infinitesimal Cherednik algebras. Zbl 1302.17012
Ding, Fengning; Tsymbaliuk, Alexander
2013
On a pairing of Goldberg-Shahidi for even orthogonal groups. Zbl 1315.22022
Li, Wen-Wei
2013
Cohomology of Deligne-Lusztig varieties for unipotent blocks of $$\mathrm{GL}_n(q)$$. Zbl 1308.20011
Dudas, Olivier
2013
Complement to the appendix of: “On the Howe duality conjecture”. Zbl 1268.22019
Rallis, Steve
2013
Deligne’s category $$\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})$$ and representations of general linear supergroups. Zbl 1302.17010
Comes, Jonathan; Wilson, Benjamin
2012
On the classification of irreducible representations of affine Hecke algebras with unequal parameters. Zbl 1272.20003
Solleveld, Maarten
2012
Preprojective algebras and MV polytopes. Zbl 1242.05273
Baumann, Pierre; Kamnitzer, Joel
2012
Twisted geometric Satake equivalence via gerbes on the factorizable Grassmannian. Zbl 1302.22014
Reich, Ryan Cohen
2012
Graded decomposition matrices of $$v$$-Schur algebras via Jantzen filtration. Zbl 1284.20050
Shan, Peng
2012
From conjugacy classes in the Weyl group to unipotent classes. II. Zbl 1264.20043
Lusztig, G.
2012
Representations of metaplectic groups. II: Hecke algebra correspondences. Zbl 1305.22020
Gan, Wee Teck; Savin, Gordan
2012
...and 259 more Documents
all top 5

#### Cited by 1,780 Authors

 46 Lusztig, George 33 Stroppel, Catharina H. 31 Chari, Vyjayanthi 31 Mazorchuk, Volodymyr 26 Brundan, Jonathan 24 Geck, Meinolf 24 Hu, Jun 23 Achar, Pramod N. 22 Kleshchev, Alexander S. 22 Malle, Gunter 22 Wang, Weiqiang 21 He, Xuhua 20 Kashiwara, Masaki 20 Oh, Se-jin 20 Tiep Pham Huu 19 Ciubotaru, Dan 19 Scrimshaw, Travis 18 Losev, Ivan V. 18 Webster, Ben 18 Williamson, Geordie 17 Navarro, Gabriel 15 Bezrukavnikov, Roman 15 Lauda, Aaron D. 15 Riche, Simon 15 Schilling, Anne 15 Solleveld, Maarten 15 Yakimov, Milen T. 14 Fourier, Ghislain 14 Kim, Myungho 14 Naito, Satoshi 14 Williams, Lauren K. 13 Cautis, Sabin 13 Coulembier, Kevin 13 Elias, Benjamin 13 Futorny, Vyacheslav M. 13 Gan, Wee Teck 13 Khovanov, Mikhail G. 13 Marberg, Eric 13 Neeb, Karl-Hermann 13 Trapa, Peter E. 12 Aubert, Anne-Marie 12 Jacon, Nicolas 12 Kang, Seok-Jin 12 Kobayashi, Toshiyuki 12 Okado, Masato 12 Park, Euiyong 12 Sagaki, Daisuke 12 Savin, Gordan 12 Späth, Britta 11 Feigin, Evgeny 11 Henderson, Anthony 11 Lam, Thomas F. 11 Mathas, Andrew 11 Moura, Adriano A. 11 Ólafsson, Gestur 10 Arakawa, Tomoyuki 10 Bravi, Paolo 10 Etingof, Pavel Il’ich 10 Greenstein, Jacob 10 Kato, Syu 10 Lapid, Erez Moshe 10 Leites, Dimitry A. 10 Liu, Baiying 10 Rietsch, Konstanze 10 Röhrle, Gerhard E. 10 Ryom-Hansen, Steen 10 Tubbenhauer, Daniel 10 Vasserot, Eric 10 Xue, Ting 9 Barbasch, Dan M. 9 Bonnafé, Cédric 9 Doty, Stephen R. 9 Fayers, Matthew 9 Ginzburg, Victor 9 Hernandez, David 9 Kolb, Stefan 9 Kus, Deniz 9 Leclerc, Bernard 9 Licata, Anthony M. 9 Mackaay, Marco 9 Martin, Paul Purdon 9 Moeglin, Colette 9 Opdam, Eric Marcus 9 Ørsted, Bent 9 Pylyavskyy, Pavlo 9 Ram, Arun 9 Sussan, Joshua 9 Zierau, Roger 8 Andersen, Henning Haahr 8 Barchini, Leticia 8 Cheng, Shun-Jen 8 Chlouveraki, Maria 8 Du, Jie 8 Finkelberg, Michael Vladlenovich 8 Huang, Jing-Song 8 Jing, Naihuan 8 Naoi, Katsuyuki 8 Rouquier, Raphaël 8 Rui, Hebing 8 Shimozono, Mark ...and 1,680 more Authors
all top 5

#### Cited in 195 Journals

 366 Journal of Algebra 214 Advances in Mathematics 204 Representation Theory 90 Transactions of the American Mathematical Society 89 Journal of Pure and Applied Algebra 85 Mathematische Zeitschrift 80 Algebras and Representation Theory 78 Transformation Groups 75 Selecta Mathematica. New Series 57 Duke Mathematical Journal 56 Compositio Mathematica 48 Communications in Algebra 48 Journal of Algebraic Combinatorics 47 Communications in Mathematical Physics 42 Inventiones Mathematicae 34 Israel Journal of Mathematics 31 Mathematische Annalen 30 Proceedings of the American Mathematical Society 28 Journal für die Reine und Angewandte Mathematik 26 Journal of the Institute of Mathematics of Jussieu 24 Journal of Functional Analysis 24 Journal of the American Mathematical Society 22 Annales de l’Institut Fourier 22 Journal of the European Mathematical Society (JEMS) 22 Journal of High Energy Physics 22 Journal of Algebra and its Applications 21 Journal of Number Theory 19 Annals of Mathematics. Second Series 18 Journal of Combinatorial Theory. Series A 18 Memoirs of the American Mathematical Society 17 Manuscripta Mathematica 15 Letters in Mathematical Physics 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Journal of Mathematical Physics 14 Science China. Mathematics 13 Nagoya Mathematical Journal 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Proceedings of the London Mathematical Society. Third Series 11 International Journal of Mathematics 11 Journal of Lie Theory 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Theoretical and Mathematical Physics 10 Pacific Journal of Mathematics 10 Documenta Mathematica 10 Algebra & Number Theory 9 Journal of Geometry and Physics 9 Algebra Colloquium 8 Publications Mathématiques 8 European Journal of Combinatorics 8 Forum Mathematicum 8 Bulletin of the American Mathematical Society. New Series 8 Indagationes Mathematicae. New Series 8 Séminaire Lotharingien de Combinatoire 8 Annals of Combinatorics 8 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 8 Forum of Mathematics, Sigma 8 Algebraic Combinatorics 7 Canadian Journal of Mathematics 7 Glasgow Mathematical Journal 7 Journal of Mathematical Sciences (New York) 7 Frontiers of Mathematics in China 7 Quantum Topology 7 Kyoto Journal of Mathematics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Archiv der Mathematik 6 Functional Analysis and its Applications 6 Osaka Journal of Mathematics 6 Advances in Applied Mathematics 6 International Journal of Algebra and Computation 6 Linear Algebra and its Applications 6 Experimental Mathematics 6 Geometry & Topology 6 Journal of the Australian Mathematical Society 6 Japanese Journal of Mathematics. 3rd Series 5 Nuclear Physics. B 5 Acta Mathematica Vietnamica 5 International Journal of Mathematics and Mathematical Sciences 5 Proceedings of the Japan Academy. Series A 5 Tohoku Mathematical Journal. Second Series 5 Acta Mathematica Sinica. English Series 5 Arnold Mathematical Journal 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica 4 Applied Categorical Structures 4 The Electronic Journal of Combinatorics 4 Journal of Nonlinear Mathematical Physics 4 Forum of Mathematics, Pi 4 Research in the Mathematical Sciences 4 Journal de l’École Polytechnique – Mathématiques 3 Bulletin of the Australian Mathematical Society 3 Linear and Multilinear Algebra 3 Bulletin of the London Mathematical Society 3 Journal of the Mathematical Society of Japan 3 Michigan Mathematical Journal 3 Acta Applicandae Mathematicae 3 Geometric and Functional Analysis. GAFA 3 Expositiones Mathematicae 3 Finite Fields and their Applications 3 Journal of Group Theory 3 LMS Journal of Computation and Mathematics ...and 95 more Journals
all top 5

#### Cited in 48 Fields

 1,093 Group theory and generalizations (20-XX) 1,056 Nonassociative rings and algebras (17-XX) 566 Topological groups, Lie groups (22-XX) 514 Algebraic geometry (14-XX) 496 Associative rings and algebras (16-XX) 374 Combinatorics (05-XX) 281 Number theory (11-XX) 168 Quantum theory (81-XX) 158 Category theory; homological algebra (18-XX) 91 Commutative algebra (13-XX) 59 Differential geometry (53-XX) 49 Special functions (33-XX) 49 Manifolds and cell complexes (57-XX) 44 Several complex variables and analytic spaces (32-XX) 42 Abstract harmonic analysis (43-XX) 35 $$K$$-theory (19-XX) 35 Dynamical systems and ergodic theory (37-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Statistical mechanics, structure of matter (82-XX) 25 Functional analysis (46-XX) 25 Convex and discrete geometry (52-XX) 25 Global analysis, analysis on manifolds (58-XX) 17 Algebraic topology (55-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 12 Mechanics of particles and systems (70-XX) 11 Operator theory (47-XX) 11 Computer science (68-XX) 10 Relativity and gravitational theory (83-XX) 9 Geometry (51-XX) 8 Partial differential equations (35-XX) 7 Field theory and polynomials (12-XX) 7 Probability theory and stochastic processes (60-XX) 6 Mathematical logic and foundations (03-XX) 5 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)