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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: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (1997). This journal is available open access.
Documents Indexed: 535 Publications (since 1997)
References Indexed: 534 Publications with 12,437 References.
all top 5

Authors

52 Lusztig, George
9 Geck, Meinolf
6 Achar, Pramod N.
6 Etingof, Pavel Il’ich
6 Malle, Gunter
6 Soergel, Wolfgang
6 Yun, Zhiwei
5 Bezrukavnikov, Roman
5 Xue, Ting
4 Baumann, Pierre
4 Chari, Vyjayanthi
4 Ciubotaru, Dan
4 Fayers, Matthew
4 Gan, Wee Teck
4 Ginzburg, Victor
4 He, Xuhua
4 Henderson, Anthony
4 Jantzen, Chris
4 Kottwitz, Robert Edward
4 Lapid, Erez Moshe
4 Navarro, Gabriel
4 Neeb, Karl-Hermann
3 Abe, Noriyuki
3 Ban, Dubravka
3 Bédard, Robert
3 Bravi, Paolo
3 Brion, Michel
3 Brundan, Jonathan
3 Doty, Stephen R.
3 Fresse, Lucas
3 Hakim, Jeffrey L.
3 Hu, Jun
3 Huang, Jing-Song
3 Knop, Friedrich
3 Letzter, Gail
3 Liu, Baiying
3 Mason-Brown, Lucas
3 Morotti, Lucia
3 Moy, Allen
3 Nevins, Monica
3 Noël, Alfred G.
3 Okado, Masato
3 Ólafsson, Gestur
3 Pezzini, Guido
3 Renard, David A.
3 Savin, Gordan
3 Schmidt, Tobias
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.
3 Trapa, Peter E.
3 Vignéras, Marie-France
3 Wallach, Nolan Russell
3 Williamson, Geordie
2 Adams, Jeffrey David
2 Andersen, Henning Haahr
2 Ardakov, Konstantin
2 Atobe, Hiraku
2 Backelin, Erik
2 Balagović, Martina
2 Barbasch, Dan M.
2 Baur, Karin
2 Bonnafé, Cédric
2 Brunat, Olivier
2 Caldero, Philippe
2 Casselman, William A.
2 Chirvăsitu, Alexandru
2 Cunningham, Clifton L. R.
2 Đoković, Dragomir Ž.
2 Douglass, J. Matthew
2 Feigin, Evgeny
2 Finkelberg, Michael Vladlenovich
2 Fujita, Ryo
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 Hong, Jiuzu
2 Hundley, Joseph
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 Kumar, Shrawan
2 Latham, Peter E.
2 Leclerc, Bernard
2 Losev, Ivan V.
...and 440 more Authors

Publications by Year

Citations contained in zbMATH Open

442 Publications have been cited 5,044 times in 3,574 Documents Cited by Year
A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117
Khovanov, Mikhail; Lauda, Aaron D.
325
2009
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
115
2001
Kazhdan-Lusztig polynomials and a combinatorics for tilting modules. Zbl 0886.05123
Soergel, Wolfgang
99
1997
Soergel calculus. Zbl 1427.20006
Elias, Ben; Williamson, Geordie
90
2016
Highest weight categories arising from Khovanov’s diagram algebra. III: Category \(\mathcal O\). Zbl 1261.17006
Brundan, Jonathan; Stroppel, Catharina
83
2011
Total positivity in partial flag manifolds. Zbl 0895.14014
Lusztig, G.
80
1998
\(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008
Nakajima, Hiraku
71
2003
Height 0 characters of finite groups of Lie type. Zbl 1139.20008
Malle, Gunter
68
2007
Character formulas for tilting modules over Kac-Moody algebras. Zbl 0964.17018
Soergel, Wolfgang
51
1998
Parametrizations of flag varieties. Zbl 1053.14057
Marsh, R. J.; Rietsch, K.
50
2004
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
48
2001
Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009
Okado, Masato; Schilling, Anne
46
2008
Whittaker modules for generalized Weyl algebras. Zbl 1251.16020
Benkart, Georgia; Ondrus, Matthew
45
2009
Category \(\mathcal O\): quivers and endomorphism rings of projectives. Zbl 1050.17005
Stroppel, Catharina
44
2003
Multiplicity-free products and restrictions of Weyl characters. Zbl 1060.17001
Stembridge, John R.
44
2003
Twisting functors on \({\mathcal O}\). Zbl 1051.17004
Andersen, Henning Haahr; Stroppel, Catharina
43
2003
Centers of degenerate cyclotomic Hecke algebras and parabolic category \(\mathcal O\). Zbl 1202.20008
Brundan, Jonathan
43
2008
On minimal representations definitions and properties. Zbl 1092.22012
Gan, Wee Teck; Savin, Gordan
42
2005
On Koszul duality for Kac-Moody groups. Zbl 1326.20051
Bezrukavnikov, Roman; Yun, Zhiwei
42
2013
The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046
Cox, Anton; De Visscher, Maud; Martin, Paul
40
2009
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
40
1997
\(U({\mathfrak g})\)-finite locally analytic representations. Zbl 1028.17007
Schneider, P.; Teitelbaum, J.; Prasad, Dipendra
38
2001
From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045
Lusztig, G.
37
2011
Kazhdan-Lusztig polynomials and a combinatorics for tilting modulus. (Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln.) Zbl 0886.05124
Soergel, Wolfgang
37
1997
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
36
2003
Harish-Chandra bimodules for quantized Slodowy slices. Zbl 1250.17007
Ginzburg, Victor
34
2009
The bar involution for quantum symmetric pairs. Zbl 1376.17018
Balagović, Martina; Kolb, Stefan
32
2015
Purity of equivalued affine Springer fibers. Zbl 1133.22013
Goresky, Mark; Kottwitz, Robert; Macpherson, Robert
31
2006
A geometric approach to Standard Monomial Theory. Zbl 1053.14056
Brion, M.; Lakshmibai, V.
30
2003
Generic extensions and multiplicative bases of quantum groups at \(q=0\). Zbl 1050.17015
Reineke, Markus
30
2001
Orbits in the flag variety and images of the moment map for classical groups. I. Zbl 0887.22017
Yamamoto, Atsuko
30
1997
Deligne’s category \(\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})\) and representations of general linear supergroups. Zbl 1302.17010
Comes, Jonathan; Wilson, Benjamin
30
2012
Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. Zbl 1065.20055
Bezrukavnikov, Roman
29
2003
Koszul duality for parabolic and singular category \(\mathcal O\). Zbl 0999.17029
Backelin, Erik
29
1999
Left cells in type \(B_n\) with unequal parameters. Zbl 1070.20004
Bonnafé, Cédric; Iancu, Lacrimioara
29
2003
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
28
2002
The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016
Sergeev, Alexander
28
1999
Cherednik algebras and Hilbert schemes in characteristic \(p\). With an appendix by Pavel Etingof. Zbl 1130.14005
Bezrukavnikov, Roman; Finkelberg, Michael; Ginzburg, Victor
28
2006
Bases in equivariant \(K\)-theory. Zbl 0901.20034
Lusztig, G.
27
1998
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
27
1997
Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005
Etingof, Pavel; Stoica, Emanuel
27
2009
Localization in quiver moduli spaces. Zbl 1302.14010
Weist, Thorsten
27
2013
Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015
Bao, Huanchen
27
2017
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
26
2002
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
26
2004
Wall-crossing functors and \({\mathcal{D}}\)-modules. Zbl 0910.05068
Beilinson, Alexander; Ginzburg, Victor
26
1999
Some closed formulas for canonical bases of Fock spaces. Zbl 1030.17014
Leclerc, Bernard; Miyachi, Hyohe
25
2002
Double affine Hecke algebras and Calogero-Moser spaces. Zbl 1078.20004
Oblomkov, Alexei
24
2004
Character values, Schur indices and character sheaves. Zbl 1065.20019
Geck, Meinolf
23
2003
Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011
Doty, Stephen
23
2003
Finite quaternionic matrix groups. Zbl 0901.20035
Nebe, Gabriele
23
1998
The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings. Zbl 0999.17031
Shchepochkina, Irina
23
1999
The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014
Sergeev, Alexander
23
1999
Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040
Guralnick, Robert M.; Tiep, Pham Huu
23
2005
Representations of graded Hecke algebras. Zbl 1057.20003
Kriloff, Cathy; Ram, Arun
23
2002
On the classification of irreducible representations of affine Hecke algebras with unequal parameters. Zbl 1272.20003
Solleveld, Maarten
23
2012
\(p\)-rational characters and self-normalizing Sylow \(p\)-subgroups. Zbl 1146.20005
Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre
23
2007
The PBW filtration. Zbl 1229.17026
Feigin, Evgeny
23
2009
Duality for admissible locally analytic representations. Zbl 1146.22301
Schneider, Peter; Teitelbaum, Jeremy
22
2005
The Fourier-Jacobi map and small representations. Zbl 1065.22015
Weissman, Martin H.
22
2003
Preprojective algebras and MV polytopes. Zbl 1242.05273
Baumann, Pierre; Kamnitzer, Joel
22
2012
Degenerate principal series for even-orthogonal groups. Zbl 1054.22015
Ban, Dubravka; Jantzen, Chris
21
2003
Theta correspondences for \(\text{GSp}(4)\). Zbl 1239.11062
Gan, Wee Teck; Takeda, Shuichiro
21
2011
Automorphisms of complex reflection groups. Zbl 1220.20036
Marin, I.; Michel, Jean
21
2010
Bases in equivariant \(K\)-theory. II. Zbl 0999.20036
Lusztig, G.
20
1999
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.
20
2006
Kazhdan-Lusztig cells and decomposition numbers. Zbl 0901.20004
Geck, Meinolf
19
1998
Transfer factors for Lie algebras. Zbl 1044.22011
Kottwitz, Robert E.
19
1999
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
19
2004
Wonderful varieties of type \(D\). Zbl 1222.14099
Bravi, Paolo; Pezzini, Guido
19
2005
Character families of complex reflection groups. (Familles de caractères de groupes de réflexions complexes.) Zbl 1072.20007
Malle, Gunter; Rouquier, Raphaël
18
2003
The Satake isomorphism for special maximal parahoric Hecke algebras. Zbl 1251.22013
Haines, Thomas J.; Rostami, Sean
18
2010
Hall polynomials for affine quivers. Zbl 1241.16011
Hubery, Andrew
18
2010
Dirac operators and Lie algebra cohomology. Zbl 1134.22011
Huang, Jing-Song; Pandžić, Pavle; Renard, David
18
2006
Counterexamples to the 0-1 conjecture. Zbl 1014.05068
McLarnan, Timothy J.; Warrington, Gregory S.
17
2003
Functions on the model orbit in \(E_{8}\). Zbl 0909.22027
Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun.
17
1998
On some representations of the rational Cherednik algebra. Zbl 1070.20005
Chmutova, Tatyana; Etingof, Pavel
17
2003
D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012
Frenkel, Edward; Gaitsgory, Dennis
17
2009
Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups. Zbl 1233.17011
Mériaux, Antoine; Cauchon, Gérard
17
2010
Jacquet modules of \(p\)-adic general linear groups. Zbl 1139.22014
Jantzen, Chris
17
2007
Tempered endoscopy for real groups. III: Inversion of transfer and \(L\)-packet structure. Zbl 1159.22007
Shelstad, D.
17
2008
Raising nilpotent orbits in wave-front sets. Zbl 1417.11087
Jiang, Dihua; Liu, Baiying; Savin, Gordan
17
2016
On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups. Zbl 0983.20006
Geck, Meinolf
16
2000
Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups. Zbl 0968.14029
Polo, Patrick
16
1999
On certain small representations of indefinite orthogonal groups. Zbl 0887.22016
Zhu, Chen-bo; Huang, Jing-Song
16
1997
Double affine Hecke algebras at roots of unity. Zbl 1280.20005
Varagnolo, M.; Vasserot, E.
16
2010
Relative Kazhdan-Lusztig cells. Zbl 1139.20003
Geck, Meinolf
16
2006
On Mirković-Vilonen cycles and crystal combinatorics. Zbl 1217.20028
Baumann, Pierre; Gaussent, Stéphane
16
2008
On the asymptotics of Whittaker functions. Zbl 1193.22016
Lapid, Erez; Mao, Zhengyu
16
2009
Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022
Cabanes, Marc; Späth, Britta
16
2017
Quivers with relations for symmetrizable Cartan matrices. III: Convolution algebras. Zbl 1362.16018
Geiß, Christof; Leclerc, Bernard; Schröer, Jan
16
2016
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
15
2005
Character sheaves on disconnected groups. VII. Zbl 1078.20047
Lusztig, G.
15
2005
Unramified representations of reductive groups over finite rings. Zbl 1220.20043
Stasinski, Alexander
15
2009
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
15
2015
Quiver varieties and symmetric pairs. Zbl 1403.16009
Li, Yiqiang
15
2019
Involutions in Weyl groups. Zbl 1045.22500
Kottwitz, Robert E.
14
2000
Large Schubert varieties. Zbl 0947.14026
Brion, Michel; Polo, Patrick
14
2000
Isogenies of Hecke algebras and a Langlands correspondence for ramified principal series representations. Zbl 0999.22021
Reeder, Mark
14
2002
On the generic degrees of cyclotomic algebras. Zbl 0984.20005
Malle, Gunter
14
2000
\( \imath\)Hall algebras of weighted projective lines and quantum symmetric pairs. Zbl 07819594
Lu, Ming; Ruan, Shiquan
2
2024
Unitriangular basic sets, Brauer characters and coprime actions. Zbl 1515.20061
Feng, Zhicheng; Späth, Britta
3
2023
Braid group action and quasi-split affine \(\imath\)quantum groups. I. Zbl 07772658
Lu, Ming; Wang, Weiqiang; Zhang, Weinan
2
2023
Skew cellularity of the Hecke algebras of type \(G(\ell, p, n)\). Zbl 1520.20010
Hu, Jun; Mathas, Andrew; Rostam, Salim
1
2023
On unipotent representations of ramified \(p\)-adic groups. Zbl 07730044
Solleveld, Maarten
1
2023
Duals and admissibility in natural characteristic. Zbl 1530.22015
Schneider, Peter; Sorensen, Claus
1
2023
From Weyl groups to semisimple groups. Zbl 1515.20258
Lusztig, G.
1
2023
On endomorphism algebras of Gelfand-Graev representations. Zbl 1516.20105
Li, Tzu-Jan
1
2023
On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions. Zbl 1531.14066
Pezzini, Guido; van Pruijssen, Maarten
1
2023
On the generalised Springer correspondence for groups of type \(E_8\). Zbl 1528.20014
Hetz, Jonas
1
2023
Universal K-matrices for quantum Kac-Moody algebras. Zbl 1522.17017
Appel, Andrea; Vlaar, Bart
14
2022
On Donkin’s tilting module conjecture. I: Lowering the prime. Zbl 07512767
Bendel, Christopher P.; Nakano, Daniel K.; Pillen, Cornelius; Sobaje, Paul
8
2022
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Zbl 1495.17021
Fujita, Ryo
7
2022
Towards combinatorial invariance for Kazhdan-Lusztig polynomials. Zbl 1509.20057
Blundell, Charles; Buesing, Lars; Davies, Alex; Veličković, Petar; Williamson, Geordie
7
2022
Character sheaves for classical symmetric pairs. Zbl 1527.20077
Vilonen, Kari; Xue, Ting
6
2022
Derived equivalences and equivariant Jordan decomposition. Zbl 1503.18010
Ruhstorfer, Lucas
5
2022
On the socles of certain parabolically induced representations of \(p\)-adic classical groups. Zbl 1523.22018
Atobe, Hiraku
4
2022
Calculus of Archimedean Rankin-Selberg integrals with recurrence relations. Zbl 1519.11027
Ishii, Taku; Miyazaki, Tadashi
3
2022
Microlocal characterization of Lusztig sheaves for affine quivers and \(g\)-loops quivers. Zbl 1521.16011
Hennecart, Lucien
3
2022
Reflexivity of Newton-Okounkov bodies of partial flag varieties. Zbl 1498.17019
Steinert, Christian
2
2022
The integral geometric Satake equivalence in mixed characteristic. Zbl 1518.22035
Yu, Jize
2
2022
Stable maps, \(Q\)-operators and category \(\mathcal{O}\). Zbl 1502.17013
Hernandez, David
2
2022
Inverse Satake isomorphism and change of weight. Zbl 1517.20009
Abe, N.; Herzig, F.; Vignéras, M. F.
2
2022
Homological invariants of the arrow removal operation. Zbl 1483.18011
Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind
2
2022
An integral second fundamental theorem of invariant theory for partition algebras. Zbl 07503377
Bowman, Chris; Doty, Stephen; Martin, Stuart
2
2022
Relations between cusp forms sharing Hecke eigenvalues. Zbl 1512.11052
Prasad, Dipendra; Raghunathan, Ravi
1
2022
The dependence on parameters of the inverse functor to the \(K\)-finite functor. Zbl 1518.22027
Wallach, Nolan R.
1
2022
Coordinate rings and birational charts. Zbl 1522.22006
Fomin, Sergey; Lusztig, George
1
2022
Defect 2 spin blocks of symmetric groups and canonical basis coefficients. Zbl 07503369
Fayers, Matthew
1
2022
Branching of metaplectic representation of \(\mathrm{Sp}(2, \mathbb{R})\) under its principal \(\mathrm{SL}(2, \mathbb{R})\)-subgroup. Zbl 07534473
Zhang, Genkai
1
2022
A proof of the polynomial conjecture for restrictions of nilpotent Lie groups representations. Zbl 1523.22014
Baklouti, Ali; Fujiwara, Hidenori; Ludwig, Jean
1
2022
The contraction category of graphs. Zbl 1505.05065
Proudfoot, Nicholas; Ramos, Eric
1
2022
Quivers for \(\mathrm{SL}_2\) tilting modules. Zbl 1504.20046
Tubbenhauer, Daniel; Wedrich, Paul
8
2021
Finite dimensional semigroups of unitary endomorphisms of standard subspaces. Zbl 1492.17010
Neeb, Karl-H.
7
2021
Characters and generation of Sylow 2-subgroups. Zbl 1480.20029
Navarro, Gabriel; Rizo, Noelia; Fry, A. A. Schaeffer; Vallejo, Carolina
6
2021
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. Zbl 1476.17009
Watanabe, Hideya
5
2021
The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034
Larsen, Michael J.; Miller, Alexander R.
5
2021
Parametrizing torsion pairs in derived categories. Zbl 1474.18024
Hügel, Lidia Angeleri; Hrbek, Michal
5
2021
Cohomological representations of parahoric subgroups. Zbl 1498.20113
Chan, Charlotte; Ivanov, Alexander
4
2021
Eulerianity of Fourier coefficients of automorphic forms. Zbl 1482.11071
Gourevitch, Dmitry; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel; Sahi, Siddhartha
4
2021
Irreducible tensor products of representations of covering groups of symmetric and alternating groups. Zbl 07368915
Morotti, Lucia
4
2021
Simple and projective correspondence functors. Zbl 1506.18004
Bouc, Serge; Thévenaz, Jacques
3
2021
On unitary representations of algebraic groups over local fields. Zbl 1487.22017
Bekka, Bachir; Echterhoff, Siegfried
3
2021
Coherent IC-sheaves on type \(A_n\) affine Grassmannians and dual canonical basis of affine type \(A_1\). Zbl 1468.17022
Finkelberg, Michael; Fujita, Ryo
2
2021
Varieties of elementary abelian Lie algebras and degrees of modules. Zbl 1489.17017
Chang, Hao; Farnsteiner, Rolf
2
2021
Equivalence of a tangle category and a category of infinite dimensional \(\text{U}_q(\mathfrak{sl}_2)\)-modules. Zbl 1495.17023
Iohara, K.; Lehrer, G. I.; Zhang, R. B.
2
2021
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes. Zbl 07346757
Montealegre-Mora, Felipe; Gross, David
2
2021
Parabolic induction via the parabolic pro-\(p\) Iwahori-Hecke algebra. Zbl 1482.11063
Heyer, Claudius
2
2021
Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-Archimedean local field. Zbl 1484.22012
Gurevich, Maxim; Lapid, Erez
2
2021
Parametrization, structure and Bruhat order of certain spherical quotients. Zbl 1491.14075
Chaput, Pierre-Emmanuel; Fresse, Lucas; Gobet, Thomas
1
2021
Typical representations via fixed point sets in Bruhat-Tits buildings. Zbl 1496.22009
Latham, Peter; Nevins, Monica
1
2021
Equivariant multiplicities of simply-laced type flag minors. Zbl 1502.17012
Casbi, Elie
1
2021
Dilogarithm and higher \(\mathscr{L} \)-invariants for \(\operatorname{GL}_3(\mathbb{Q}_p)\). Zbl 1477.11110
Qian, Zicheng
1
2021
Mirković-Vilonen basis in type \(A_1\). Zbl 1509.22007
Baumann, Pierre; Demarais, Arnaud
1
2021
Gradings of Lie algebras, magical spin geometries and matrix factorizations. Zbl 1479.17032
Abuaf, Roland; Manivel, Laurent
1
2021
Littlewood complexes for symmetric groups. Zbl 1535.20077
Ryba, Christopher
1
2021
Invariant measures on nilpotent orbits associated with holomorphic discrete series. Zbl 1509.22008
Božičević, Mladen
1
2021
Local Langlands correspondence for unitary groups via theta lifts. Zbl 1511.22025
Chen, Rui; Zou, Jialiang
1
2021
Splitting fields of real irreducible representations of finite groups. Zbl 1510.20013
Pasechnik, Dmitrii V.
1
2021
A quantum Mirković-Vybornov isomorphism. Zbl 1496.17013
Webster, Ben; Weekes, Alex; Yacobi, Oded
4
2020
Spinoriality of orthogonal representations of reductive groups. Zbl 1530.20158
Joshi, Rohit; Spallone, Steven
3
2020
Semisimple characters for inner forms. II: Quaternionic forms of \(p\)-adic classical groups (\(p\) odd). Zbl 1462.22003
Skodlerack, Daniel
3
2020
Homogeneous vector bundles over abelian varieties via representation theory. Zbl 1456.14052
Brion, Michel
3
2020
Partial flag manifolds over a semifield. Zbl 1530.20165
Lusztig, G.
2
2020
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis. Zbl 1530.20155
Fang, Ming; Lim, Kay Jin; Tan, Kai Meng
2
2020
The Grothendieck group of unipotent representations: a new basis. Zbl 1503.20012
Lusztig, G.
2
2020
Resolving irreducible \(\mathbb{C}S_n\)-modules by modules restricted from \(\mathrm{GL}_n(\mathbb{C})\). Zbl 1444.05148
Ryba, Christopher
2
2020
Local functions on finite groups. Zbl 1444.20020
Isaacs, I. M.; Navarro, Gabriel
2
2020
Irreducible restrictions of representations of alternating groups in small characteristics: reduction theorems. Zbl 1480.20036
Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu
1
2020
\( \mathbb{Z}/m\)-graded Lie algebras and perverse sheaves. IV. Zbl 1451.17011
Lusztig, George; Yun, Zhiwei
1
2020
Degenerate principal series for classical and odd \(\mathrm{GSpin}\) groups in the general case. Zbl 1454.22006
Kim, Yeansu; Liu, Baiying; Matić, Ivan
1
2020
Speh representations are relatively discrete. Zbl 1477.22012
Smith, Jerrod Manford
1
2020
The Mackey bijection for complex reductive groups and continuous fields of reduced group \(C^\ast\)-algebras. Zbl 1468.22019
Higson, Nigel; Román, Angel
1
2020
Quiver varieties and symmetric pairs. Zbl 1403.16009
Li, Yiqiang
15
2019
Cartan subalgebras for quantum symmetric pair coideals. Zbl 1472.17057
Letzter, Gail
14
2019
Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 1473.17031
Molev, Alexander; Yakimova, Oksana
14
2019
Rationality of blocks of quasi-simple finite groups. Zbl 1472.20019
Farrell, Niamh; Kessar, Radha
9
2019
Involutions on pro-\(p\)-Iwahori Hecke algebras. Zbl 1477.22009
Abe, Noriyuki
4
2019
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials. Zbl 1472.17056
Lanini, Martina; Ram, Arun
2
2019
An induction theorem for groups acting on trees. Zbl 1515.20271
Weissman, Martin H.
2
2019
A proof of the first Kac-Weisfeiler conjecture in large characteristics. With an appendix by Akaki Tikaradze. Zbl 1473.17047
Martin, Benjamin; Stewart, David; Topley, Lewis
2
2019
An Euler-Poincaré formula for a depth zero Bernstein projector. Zbl 1423.22017
Barbasch, Dan; Ciubotaru, Dan; Moy, Allen
1
2019
On the space of \(K\)-finite solutions to intertwining differential operators. Zbl 1428.22014
Kubo, Toshihisa; Ørsted, Bent
1
2019
A new basis for the representation ring of a Weyl group. Zbl 1477.20086
Lusztig, G.
1
2019
Duality for classical \(p\)-adic groups: the half-integral case. Zbl 1414.22020
Jantzen, Chris
10
2018
Dualities for root systems with automorphisms and applications to non-split groups. Zbl 1430.20005
Haines, Thomas J.
9
2018
Constructing tame supercuspidal representations. Zbl 1451.11041
Hakim, Jeffrey
8
2018
On pro-\(p\)-Iwahori invariants of \(R\)-representations of reductive \(p\)-adic groups. Zbl 1474.22012
Abe, N.; Henniart, G.; Vignéras, M.-F.
6
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
5
2018
Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045
Lusztig, G.
4
2018
Hecke modules based on involutions in extended Weyl groups. Zbl 1502.20003
Lusztig, G.
2
2018
Representations associated to small nilpotent orbits for complex spin groups. Zbl 1403.22015
Barbasch, Dan; Tsai, Wan-Yu
1
2018
Finite-dimensional representations of minimal nilpotent \(W\)-algebras and zigzag algebras. Zbl 1407.17013
Petukhov, Alexey
1
2018
Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015
Bao, Huanchen
27
2017
Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022
Cabanes, Marc; Späth, Britta
16
2017
On the local Langlands correspondence and Arthur conjecture for even orthogonal groups. Zbl 1419.11088
Atobe, Hiraku; Gan, Wee Teck
13
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035
Lusztig, George; Yun, Zhiwei
12
2017
The Peterson variety and the wonderful compactification. Zbl 1428.20040
Bălibanu, Ana
8
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.
8
2017
Cusp forms for reductive symmetric spaces of split rank one. Zbl 1401.22013
van den Den Ban, Erik P.; Kuit, Job J.
7
2017
...and 342 more Documents
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Cited by 2,320 Authors

54 Lusztig, George
42 Mazorchuk, Volodymyr
38 Stroppel, Catharina H.
36 Wang, Weiqiang
34 Chari, Vyjayanthi
33 Hu, Jun
29 Kashiwara, Masaki
29 Oh, Se-jin
28 Achar, Pramod N.
28 Brundan, Jonathan
28 Williamson, Geordie
27 Geck, Meinolf
27 Malle, Gunter
26 He, Xuhua
26 Kleshchev, Alexander S.
25 Webster, Ben
24 Tiep Pham Huu
23 Losev, Ivan V.
23 Navarro, Gabriel
23 Scrimshaw, Travis
22 Riche, Simon
21 Bezrukavnikov, Roman
21 Solleveld, Maarten
20 Ciubotaru, Dan
20 Kim, Myungho
20 Schaeffer Fry, Amanda A.
19 Elias, Benjamin
19 Park, Euiyong
19 Tubbenhauer, Daniel
18 Lauda, Aaron D.
17 Fourier, Ghislain
17 Lam, Thomas F.
17 Schilling, Anne
17 Yakimov, Milen T.
16 Aubert, Anne-Marie
16 Coulembier, Kevin
16 Gan, Wee Teck
16 Khovanov, Mikhail G.
16 Marberg, Eric
16 Neeb, Karl-Hermann
16 Savin, Gordan
16 Williams, Lauren K.
15 Futorny, Vyacheslav M.
15 Jacon, Nicolas
15 Mathas, Andrew
15 Späth, Britta
14 Cheng, Shun-Jen
14 Doty, Stephen R.
14 Fayers, Matthew
14 Feigin, Evgeny
14 Kamnitzer, Joel
14 Kobayashi, Toshiyuki
14 Leites, Dimitry A.
14 Naito, Satoshi
14 Okado, Masato
14 Ólafsson, Gestur
14 Trapa, Peter E.
14 Xue, Ting
13 Arakawa, Tomoyuki
13 Bonnafé, Cédric
13 Bowman, Christopher David
13 Cautis, Sabin
13 Chen, Chih-Whi
13 Etingof, Pavel Il’ich
13 Jing, Naihuan
13 Kang, Seok-Jin
13 Liu, Baiying
12 Kolb, Stefan
12 Lapid, Erez Moshe
12 Leclerc, Bernard
12 Libedinsky, Nicolas
12 Moura, Adriano A.
12 Rui, Hebing
12 Sagaki, Daisuke
12 Vallejo Rodríguez, Carolina
12 Vasserot, Eric
11 Abe, Noriyuki
11 Atobe, Hiraku
11 Bravi, Paolo
11 Galashin, Pavel
11 Greenstein, Jacob
11 Henderson, Anthony
11 Hernandez, David
11 Kato, Syu
11 Kujawa, Jonathan Robert
11 Kus, Deniz
11 Licata, Anthony M.
11 Ørsted, Bent
11 Ryom-Hansen, Steen
11 Serganova, Vera V.
11 Sussan, Joshua
11 Taylor, Jay
11 Varagnolo, Michela
11 Vaz, Pedro
10 Andersen, Henning Haahr
10 Barbasch, Dan M.
10 Chlouveraki, Maria
10 Gourevitch, Dmitry
10 Lu, Ming
10 Matić, Ivan
...and 2,220 more Authors
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Cited in 244 Journals

446 Journal of Algebra
264 Advances in Mathematics
243 Representation Theory
119 Mathematische Zeitschrift
116 Journal of Pure and Applied Algebra
103 Transformation Groups
102 Algebras and Representation Theory
101 Transactions of the American Mathematical Society
93 Selecta Mathematica. New Series
72 Compositio Mathematica
64 Duke Mathematical Journal
63 Communications in Algebra
60 Communications in Mathematical Physics
51 Inventiones Mathematicae
51 Journal of Algebraic Combinatorics
42 Journal für die Reine und Angewandte Mathematik
40 Mathematische Annalen
40 Journal of the Institute of Mathematics of Jussieu
38 Israel Journal of Mathematics
34 Proceedings of the American Mathematical Society
34 Proceedings of the London Mathematical Society. Third Series
32 Journal of the European Mathematical Society (JEMS)
29 Journal of the American Mathematical Society
29 Journal of Algebra and its Applications
28 Journal of Number Theory
28 Journal of Lie Theory
27 Pacific Journal of Mathematics
26 Journal of Functional Analysis
26 Manuscripta Mathematica
26 Journal of High Energy Physics
25 Journal of the London Mathematical Society. Second Series
24 Algebra & Number Theory
23 Annales de l’Institut Fourier
23 Memoirs of the American Mathematical Society
21 Letters in Mathematical Physics
20 Annals of Mathematics. Second Series
20 Forum of Mathematics, Sigma
20 Algebraic Combinatorics
19 Journal of Combinatorial Theory. Series A
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
19 Science China. Mathematics
17 Bulletin of the London Mathematical Society
17 Nagoya Mathematical Journal
17 Publications of the Research Institute for Mathematical Sciences, Kyoto University
16 Canadian Journal of Mathematics
16 Indagationes Mathematicae. New Series
15 Journal of Mathematical Physics
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Forum Mathematicum
13 Journal of Geometry and Physics
13 The Electronic Journal of Combinatorics
13 Documenta Mathematica
13 Oberwolfach Reports
12 Bulletin of the American Mathematical Society. New Series
12 Séminaire Lotharingien de Combinatoire
12 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
12 Quantum Topology
11 Nuclear Physics. B
11 International Journal of Mathematics
11 Kyoto Journal of Mathematics
11 Forum of Mathematics, Pi
10 Theoretical and Mathematical Physics
10 Glasgow Mathematical Journal
10 Publications Mathématiques
10 Journal of the Australian Mathematical Society
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 European Journal of Combinatorics
9 Algebra Colloquium
9 Acta Mathematica Sinica. English Series
9 Frontiers of Mathematics in China
8 Archiv der Mathematik
8 Advances in Applied Mathematics
8 Experimental Mathematics
8 Applied Categorical Structures
8 Journal of Mathematical Sciences (New York)
8 Annals of Combinatorics
8 Journal of Combinatorial Algebra
7 Osaka Journal of Mathematics
7 Geometry & Topology
7 Japanese Journal of Mathematics. 3rd Series
6 Functional Analysis and its Applications
6 Proceedings of the Japan Academy. Series A
6 International Journal of Algebra and Computation
6 Linear Algebra and its Applications
6 Journal of Physics A: Mathematical and Theoretical
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Acta Mathematica Vietnamica
5 Bulletin de la Société Mathématique de France
5 International Journal of Mathematics and Mathematical Sciences
5 Monatshefte für Mathematik
5 Tôhoku Mathematical Journal. Second Series
5 Journal of the Ramanujan Mathematical Society
5 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti
5 Communications in Contemporary Mathematics
5 Journal of Nonlinear Mathematical Physics
5 Journal of Noncommutative Geometry
5 São Paulo Journal of Mathematical Sciences
5 Arnold Mathematical Journal
5 European Journal of Mathematics
4 Acta Mathematica
...and 144 more Journals
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Cited in 51 Fields

1,506 Group theory and generalizations (20-XX)
1,403 Nonassociative rings and algebras (17-XX)
765 Topological groups, Lie groups (22-XX)
739 Algebraic geometry (14-XX)
674 Associative rings and algebras (16-XX)
503 Combinatorics (05-XX)
409 Number theory (11-XX)
262 Category theory; homological algebra (18-XX)
236 Quantum theory (81-XX)
131 Commutative algebra (13-XX)
78 Differential geometry (53-XX)
77 Manifolds and cell complexes (57-XX)
62 Special functions (33-XX)
57 Several complex variables and analytic spaces (32-XX)
54 Abstract harmonic analysis (43-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
45 \(K\)-theory (19-XX)
45 Dynamical systems and ergodic theory (37-XX)
41 Statistical mechanics, structure of matter (82-XX)
36 Convex and discrete geometry (52-XX)
34 Global analysis, analysis on manifolds (58-XX)
32 Functional analysis (46-XX)
27 Algebraic topology (55-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
18 General and overarching topics; collections (00-XX)
17 Computer science (68-XX)
16 Mechanics of particles and systems (70-XX)
14 Partial differential equations (35-XX)
14 Operator theory (47-XX)
14 Relativity and gravitational theory (83-XX)
10 Geometry (51-XX)
10 Probability theory and stochastic processes (60-XX)
9 Field theory and polynomials (12-XX)
8 Mathematical logic and foundations (03-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Functions of a complex variable (30-XX)
4 Ordinary differential equations (34-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 General algebraic systems (08-XX)
3 Sequences, series, summability (40-XX)
3 Integral transforms, operational calculus (44-XX)
2 Approximations and expansions (41-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Numerical analysis (65-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)

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