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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: 516 Publications (since 1997)
References Indexed: 515 Publications with 11,843 References.
all top 5

Authors

51 Lusztig, George
9 Geck, Meinolf
6 Etingof, Pavel Il’ich
6 Malle, Gunter
6 Soergel, Wolfgang
6 Yun, Zhiwei
5 Achar, Pramod N.
5 Bezrukavnikov, Roman
5 Xue, Ting
4 Baumann, Pierre
4 Chari, Vyjayanthi
4 Ciubotaru, Dan
4 Gan, Wee Teck
4 Ginzburg, Victor
4 He, Xuhua
4 Henderson, Anthony
4 Jantzen, Chris
4 Kottwitz, Robert Edward
4 Navarro, Gabriel
4 Neeb, Karl-Hermann
3 Ban, Dubravka
3 Bédard, Robert
3 Bravi, Paolo
3 Brion, Michel
3 Brundan, Jonathan
3 Doty, Stephen R.
3 Fayers, Matthew
3 Fresse, Lucas
3 Hakim, Jeffrey L.
3 Hu, Jun
3 Huang, Jing-Song
3 Knop, Friedrich
3 Lapid, Erez Moshe
3 Letzter, Gail
3 Liu, Baiying
3 Mason-Brown, Lucas
3 Moy, Allen
3 Nevins, Monica
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.
3 Trapa, Peter E.
3 Vignéras, Marie-France
3 Wallach, Nolan Russell
3 Williamson, Geordie
2 Adams, Jeffrey David
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 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.
2 Lübeck, Frank
2 Lysenko, Sergey
2 Mao, Zhengyu
2 Marsh, Bethany Rose
2 Mathas, Andrew
2 Matringe, Nadir
...and 414 more Authors

Publications by Year

Citations contained in zbMATH Open

415 Publications have been cited 4,526 times in 3,231 Documents Cited by Year
A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117
Khovanov, Mikhail; Lauda, Aaron D.
286
2009
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
110
2001
Kazhdan-Lusztig polynomials and a combinatorics for tilting modules. Zbl 0886.05123
Soergel, Wolfgang
89
1997
Highest weight categories arising from Khovanov’s diagram algebra. III: Category \(\mathcal O\). Zbl 1261.17006
Brundan, Jonathan; Stroppel, Catharina
74
2011
Total positivity in partial flag manifolds. Zbl 0895.14014
Lusztig, G.
74
1998
Soergel calculus. Zbl 1427.20006
Elias, Ben; Williamson, Geordie
73
2016
\(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008
Nakajima, Hiraku
67
2003
Height 0 characters of finite groups of Lie type. Zbl 1139.20008
Malle, Gunter
61
2007
Character formulas for tilting modules over Kac-Moody algebras. Zbl 0964.17018
Soergel, Wolfgang
46
1998
Category \(\mathcal O\): quivers and endomorphism rings of projectives. Zbl 1050.17005
Stroppel, Catharina
44
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
44
2001
Parametrizations of flag varieties. Zbl 1053.14057
Marsh, R. J.; Rietsch, K.
43
2004
Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009
Okado, Masato; Schilling, Anne
42
2008
Multiplicity-free products and restrictions of Weyl characters. Zbl 1060.17001
Stembridge, John R.
41
2003
Twisting functors on \({\mathcal O}\). Zbl 1051.17004
Andersen, Henning Haahr; Stroppel, Catharina
41
2003
Whittaker modules for generalized Weyl algebras. Zbl 1251.16020
Benkart, Georgia; Ondrus, Matthew
41
2009
Centers of degenerate cyclotomic Hecke algebras and parabolic category \(\mathcal O\). Zbl 1202.20008
Brundan, Jonathan
40
2008
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
39
1997
On Koszul duality for Kac-Moody groups. Zbl 1326.20051
Bezrukavnikov, Roman; Yun, Zhiwei
36
2013
From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045
Lusztig, G.
35
2011
On minimal representations definitions and properties. Zbl 1092.22012
Gan, Wee Teck; Savin, Gordan
35
2005
The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046
Cox, Anton; De Visscher, Maud; Martin, Paul
35
2009
\(U({\mathfrak g})\)-finite locally analytic representations. Zbl 1028.17007
Schneider, P.; Teitelbaum, J.; Prasad, Dipendra
35
2001
Kazhdan-Lusztig polynomials and a combinatorics for tilting modulus. (Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln.) Zbl 0886.05124
Soergel, Wolfgang
34
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
34
2003
Orbits in the flag variety and images of the moment map for classical groups. I. Zbl 0887.22017
Yamamoto, Atsuko
30
1997
Harish-Chandra bimodules for quantized Slodowy slices. Zbl 1250.17007
Ginzburg, Victor
30
2009
Generic extensions and multiplicative bases of quantum groups at \(q=0\). Zbl 1050.17015
Reineke, Markus
30
2001
A geometric approach to Standard Monomial Theory. Zbl 1053.14056
Brion, M.; Lakshmibai, V.
29
2003
The bar involution for quantum symmetric pairs. Zbl 1376.17018
Balagović, Martina; Kolb, Stefan
29
2015
Koszul duality for parabolic and singular category \(\mathcal O\). Zbl 0999.17029
Backelin, Erik
28
1999
Left cells in type \(B_n\) with unequal parameters. Zbl 1070.20004
Bonnafé, Cédric; Iancu, Lacrimioara
28
2003
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
The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016
Sergeev, Alexander
27
1999
Purity of equivalued affine Springer fibers. Zbl 1133.22013
Goresky, Mark; Kottwitz, Robert; Macpherson, Robert
27
2006
Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. Zbl 1065.20055
Bezrukavnikov, Roman
27
2003
Deligne’s category \(\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})\) and representations of general linear supergroups. Zbl 1302.17010
Comes, Jonathan; Wilson, Benjamin
26
2012
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
26
1997
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
26
2002
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
25
2002
Wall-crossing functors and \({\mathcal{D}}\)-modules. Zbl 0910.05068
Beilinson, Alexander; Ginzburg, Victor
25
1999
Localization in quiver moduli spaces. Zbl 1302.14010
Weist, Thorsten
24
2013
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
24
2004
Bases in equivariant \(K\)-theory. Zbl 0901.20034
Lusztig, G.
24
1998
Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005
Etingof, Pavel; Stoica, Emanuel
24
2009
The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014
Sergeev, Alexander
23
1999
Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015
Bao, Huanchen
23
2017
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
22
2012
Preprojective algebras and MV polytopes. Zbl 1242.05273
Baumann, Pierre; Kamnitzer, Joel
22
2012
Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040
Guralnick, Robert M.; Tiep, Pham Huu
22
2005
Some closed formulas for canonical bases of Fock spaces. Zbl 1030.17014
Leclerc, Bernard; Miyachi, Hyohe
22
2002
Character values, Schur indices and character sheaves. Zbl 1065.20019
Geck, Meinolf
22
2003
The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings. Zbl 0999.17031
Shchepochkina, Irina
21
1999
Duality for admissible locally analytic representations. Zbl 1146.22301
Schneider, Peter; Teitelbaum, Jeremy
21
2005
Finite quaternionic matrix groups. Zbl 0901.20035
Nebe, Gabriele
21
1998
Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011
Doty, Stephen
21
2003
Bases in equivariant \(K\)-theory. II. Zbl 0999.20036
Lusztig, G.
20
1999
The Fourier-Jacobi map and small representations. Zbl 1065.22015
Weissman, Martin H.
20
2003
Degenerate principal series for even-orthogonal groups. Zbl 1054.22015
Ban, Dubravka; Jantzen, Chris
20
2003
The PBW filtration. Zbl 1229.17026
Feigin, Evgeny
20
2009
Theta correspondences for \(\text{GSp}(4)\). Zbl 1239.11062
Gan, Wee Teck; Takeda, Shuichiro
19
2011
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.
19
2006
\(p\)-rational characters and self-normalizing Sylow \(p\)-subgroups. Zbl 1146.20005
Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre
19
2007
Kazhdan-Lusztig cells and decomposition numbers. Zbl 0901.20004
Geck, Meinolf
19
1998
Automorphisms of complex reflection groups. Zbl 1220.20036
Marin, I.; Michel, Jean
19
2010
Transfer factors for Lie algebras. Zbl 1044.22011
Kottwitz, Robert E.
18
1999
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
18
2004
Double affine Hecke algebras and Calogero-Moser spaces. Zbl 1078.20004
Oblomkov, Alexei
18
2004
Wonderful varieties of type \(D\). Zbl 1222.14099
Bravi, Paolo; Pezzini, Guido
18
2005
On some representations of the rational Cherednik algebra. Zbl 1070.20005
Chmutova, Tatyana; Etingof, Pavel
17
2003
Dirac operators and Lie algebra cohomology. Zbl 1134.22011
Huang, Jing-Song; Pandžić, Pavle; Renard, David
17
2006
Jacquet modules of \(p\)-adic general linear groups. Zbl 1139.22014
Jantzen, Chris
17
2007
Counterexamples to the 0-1 conjecture. Zbl 1014.05068
McLarnan, Timothy J.; Warrington, Gregory S.
17
2003
On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups. Zbl 0983.20006
Geck, Meinolf
16
2000
Character families of complex reflection groups. (Familles de caractères de groupes de réflexions complexes.) Zbl 1072.20007
Malle, Gunter; Rouquier, Raphaël
16
2003
On certain small representations of indefinite orthogonal groups. Zbl 0887.22016
Zhu, Chen-bo; Huang, Jing-Song
16
1997
Relative Kazhdan-Lusztig cells. Zbl 1139.20003
Geck, Meinolf
16
2006
Functions on the model orbit in \(E_{8}\). Zbl 0909.22027
Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun.
16
1998
Tempered endoscopy for real groups. III: Inversion of transfer and \(L\)-packet structure. Zbl 1159.22007
Shelstad, D.
16
2008
Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups. Zbl 0968.14029
Polo, Patrick
16
1999
Raising nilpotent orbits in wave-front sets. Zbl 1417.11087
Jiang, Dihua; Liu, Baiying; Savin, Gordan
16
2016
D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012
Frenkel, Edward; Gaitsgory, Dennis
16
2009
Hall polynomials for affine quivers. Zbl 1241.16011
Hubery, Andrew
16
2010
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
16
2015
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
15
2005
Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups. Zbl 1233.17011
Mériaux, Antoine; Cauchon, Gérard
15
2010
The Satake isomorphism for special maximal parahoric Hecke algebras. Zbl 1251.22013
Haines, Thomas J.; Rostami, Sean
15
2010
Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022
Cabanes, Marc; Späth, Britta
14
2017
Large Schubert varieties. Zbl 0947.14026
Brion, Michel; Polo, Patrick
14
2000
Periodic \(W\)-graphs. Zbl 0895.20031
Lusztig, G.
14
1997
Howe quotients of unitary characters and unitary lowest weight modules. (With an appendix by Soo Teck Lee). Zbl 1133.22005
Loke, Hung Yean
14
2006
Double affine Hecke algebras at roots of unity. Zbl 1280.20005
Varagnolo, M.; Vasserot, E.
14
2010
On Mirković-Vilonen cycles and crystal combinatorics. Zbl 1217.20028
Baumann, Pierre; Gaussent, Stéphane
14
2008
On the asymptotics of Whittaker functions. Zbl 1193.22016
Lapid, Erez; Mao, Zhengyu
14
2009
The Weil-Steinberg character of finite classical groups. With an appendix by Olivier Brunat. Zbl 1233.20015
Hiss, G.; Zalesski, A.
14
2009
Admissible unitary completions of locally \(\mathbb Q_p\)-rational representations of \(\mathrm{GL}_2(F)\). Zbl 1192.22009
Paškūnas, Vytautas
14
2010
Involutions in Weyl groups. Zbl 1045.22500
Kottwitz, Robert E.
13
2000
Harish-Chandra modules for quantum symmetric pairs. Zbl 0999.17023
Letzter, Gail
13
2000
On the generic degrees of cyclotomic algebras. Zbl 0984.20005
Malle, Gunter
13
2000
On unipotent representations of ramified \(p\)-adic groups. Zbl 07730044
Solleveld, Maarten
1
2023
Unitriangular basic sets, Brauer characters and coprime actions. Zbl 1515.20061
Feng, Zhicheng; Späth, Britta
1
2023
Derived equivalences and equivariant Jordan decomposition. Zbl 1503.18010
Ruhstorfer, Lucas
5
2022
Universal K-matrices for quantum Kac-Moody algebras. Zbl 07586674
Appel, Andrea; Vlaar, Bart
4
2022
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Zbl 1495.17021
Fujita, Ryo
3
2022
Character sheaves for classical symmetric pairs. Zbl 07612834
Vilonen, Kari; Xue, Ting
3
2022
Towards combinatorial invariance for Kazhdan-Lusztig polynomials. Zbl 1509.20057
Blundell, Charles; Buesing, Lars; Davies, Alex; Veličković, Petar; Williamson, Geordie
3
2022
Reflexivity of Newton-Okounkov bodies of partial flag varieties. Zbl 1498.17019
Steinert, Christian
2
2022
Stable maps, \(Q\)-operators and category \(\mathcal{O}\). Zbl 1502.17013
Hernandez, David
1
2022
Inverse Satake isomorphism and change of weight. Zbl 1517.20009
Abe, N.; Herzig, F.; Vignéras, M. F.
1
2022
Homological invariants of the arrow removal operation. Zbl 1483.18011
Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind
1
2022
An integral second fundamental theorem of invariant theory for partition algebras. Zbl 07503377
Bowman, Chris; Doty, Stephen; Martin, Stuart
1
2022
On the socles of certain parabolically induced representations of \(p\)-adic classical groups. Zbl 07534474
Atobe, Hiraku
1
2022
A proof of the polynomial conjecture for restrictions of nilpotent Lie groups representations. Zbl 07553288
Baklouti, Ali; Fujiwara, Hidenori; Ludwig, Jean
1
2022
The contraction category of graphs. Zbl 1505.05065
Proudfoot, Nicholas; Ramos, Eric
1
2022
Coordinate rings and birational charts. Zbl 07480521
Fomin, Sergey; Lusztig, George
1
2022
The integral geometric Satake equivalence in mixed characteristic. Zbl 07586676
Yu, Jize
1
2022
Finite dimensional semigroups of unitary endomorphisms of standard subspaces. Zbl 1492.17010
Neeb, Karl-H.
6
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
Characters and generation of Sylow 2-subgroups. Zbl 1480.20029
Navarro, Gabriel; Rizo, Noelia; Fry, A. A. Schaeffer; Vallejo, Carolina
4
2021
The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034
Larsen, Michael J.; Miller, Alexander R.
4
2021
Quivers for \(\mathrm{SL}_2\) tilting modules. Zbl 1504.20046
Tubbenhauer, Daniel; Wedrich, Paul
3
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
2
2021
Irreducible tensor products of representations of covering groups of symmetric and alternating groups. Zbl 07368915
Morotti, Lucia
2
2021
Cohomological representations of parahoric subgroups. Zbl 1498.20113
Chan, Charlotte; Ivanov, Alexander
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
Invariant measures on nilpotent orbits associated with holomorphic discrete series. Zbl 1509.22008
Božičević, Mladen
1
2021
Parabolic induction via the parabolic pro-\(p\) Iwahori-Hecke algebra. Zbl 1482.11063
Heyer, Claudius
1
2021
Splitting fields of real irreducible representations of finite groups. Zbl 1510.20013
Pasechnik, Dmitrii V.
1
2021
Parametrization, structure and Bruhat order of certain spherical quotients. Zbl 1491.14075
Chaput, Pierre-Emmanuel; Fresse, Lucas; Gobet, Thomas
1
2021
Gradings of Lie algebras, magical spin geometries and matrix factorizations. Zbl 1479.17032
Abuaf, Roland; Manivel, Laurent
1
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
1
2021
Parametrizing torsion pairs in derived categories. Zbl 1474.18024
Hügel, Lidia Angeleri; Hrbek, Michal
1
2021
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. Zbl 1476.17009
Watanabe, Hideya
1
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
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
A quantum Mirković-Vybornov isomorphism. Zbl 1496.17013
Webster, Ben; Weekes, Alex; Yacobi, Oded
4
2020
Spinoriality of orthogonal representations of reductive groups. Zbl 07253457
Joshi, Rohit; Spallone, Steven
3
2020
Homogeneous vector bundles over abelian varieties via representation theory. Zbl 1456.14052
Brion, Michel
3
2020
Resolving irreducible \(\mathbb{C}S_n\)-modules by modules restricted from \(\mathrm{GL}_n(\mathbb{C})\). Zbl 1444.05148
Ryba, Christopher
2
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
2
2020
Local functions on finite groups. Zbl 1444.20020
Isaacs, I. M.; Navarro, Gabriel
2
2020
The Grothendieck group of unipotent representations: a new basis. Zbl 1503.20012
Lusztig, G.
1
2020
Semisimple characters for inner forms. II: Quaternionic forms of \(p\)-adic classical groups (\(p\) odd). Zbl 1462.22003
Skodlerack, Daniel
1
2020
Partial flag manifolds over a semifield. Zbl 07253455
Lusztig, G.
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
Irreducible restrictions of representations of alternating groups in small characteristics: reduction theorems. Zbl 1480.20036
Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu
1
2020
Quiver varieties and symmetric pairs. Zbl 1403.16009
Li, Yiqiang
11
2019
Cartan subalgebras for quantum symmetric pair coideals. Zbl 1472.17057
Letzter, Gail
11
2019
Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 1473.17031
Molev, Alexander; Yakimova, Oksana
10
2019
Rationality of blocks of quasi-simple finite groups. Zbl 1472.20019
Farrell, Niamh; Kessar, Radha
7
2019
Involutions on pro-\(p\)-Iwahori Hecke algebras. Zbl 1477.22009
Abe, Noriyuki
3
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
1
2019
A new basis for the representation ring of a Weyl group. Zbl 1477.20086
Lusztig, G.
1
2019
An Euler-Poincaré formula for a depth zero Bernstein projector. Zbl 1423.22017
Barbasch, Dan; Ciubotaru, Dan; Moy, Allen
1
2019
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials. Zbl 1472.17056
Lanini, Martina; Ram, Arun
1
2019
An induction theorem for groups acting on trees. Zbl 1515.20271
Weissman, Martin H.
1
2019
Duality for classical \(p\)-adic groups: the half-integral case. Zbl 1414.22020
Jantzen, Chris
9
2018
Constructing tame supercuspidal representations. Zbl 1451.11041
Hakim, Jeffrey
8
2018
Dualities for root systems with automorphisms and applications to non-split groups. Zbl 1430.20005
Haines, Thomas J.
6
2018
Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045
Lusztig, G.
4
2018
On pro-\(p\)-Iwahori invariants of \(R\)-representations of reductive \(p\)-adic groups. Zbl 1474.22012
Abe, N.; Henniart, G.; Vignéras, M.-F.
4
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
2
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
Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015
Bao, Huanchen
23
2017
Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022
Cabanes, Marc; Späth, Britta
14
2017
On the local Langlands correspondence and Arthur conjecture for even orthogonal groups. Zbl 1419.11088
Atobe, Hiraku; Gan, Wee Teck
12
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035
Lusztig, George; Yun, Zhiwei
10
2017
Cusp forms for reductive symmetric spaces of split rank one. Zbl 1401.22013
van den Den Ban, Erik P.; Kuit, Job J.
6
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.
6
2017
The unicity of types for depth-zero supercuspidal representations. Zbl 1464.22003
Latham, Peter
5
2017
Dual Bernstein center for classical groups. (Centre de Bernstein dual pour les groupes classiques.) Zbl 1379.22016
Moussaoui, Ahmed
5
2017
Positivity in \(T\)-equivariant \(K\)-theory of flag varieties associated to Kac-Moody groups. II. Zbl 1390.19010
Baldwin, Seth; Kumar, Shrawan
4
2017
The Peterson variety and the wonderful compactification. Zbl 1428.20040
Bălibanu, Ana
4
2017
Face functors for KLR algebras. Zbl 1427.17027
McNamara, Peter J.; Tingley, Peter
3
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. II. Zbl 1419.17036
Lusztig, George; Yun, Zhiwei
3
2017
Coincidence of algebraic and smooth theta correspondences. Zbl 1378.22008
Bao, Yixin; Sun, Binyong
2
2017
A lower bound for the dimension of a highest weight module. Zbl 1429.17010
Goldstein, Daniel; Guralnick, Robert; Stong, Richard
1
2017
Lowest \(\mathfrak {sl}(2)\)-types in \(\mathfrak{sl}(n)\)-representations. Zbl 1419.17014
Lhou, Hassan; Willenbring, Jeb F.
1
2017
On the nonvanishing hypothesis for Rankin-Selberg convolutions for \(\mathrm {GL}_n(\mathbb {C})\times \mathrm {GL}_n(\mathbb {C})\). Zbl 1431.22016
Dong, Chao-Ping; Xue, Huajian
1
2017
Corrections to: “A Murnaghan-Nakayama rule for values of unipotent characters in classical groups”. Zbl 1376.20016
Lübeck, Frank; Malle, Gunter
1
2017
Soergel calculus. Zbl 1427.20006
Elias, Ben; Williamson, Geordie
73
2016
Raising nilpotent orbits in wave-front sets. Zbl 1417.11087
Jiang, Dihua; Liu, Baiying; Savin, Gordan
16
2016
Quivers with relations for symmetrizable Cartan matrices. III: Convolution algebras. Zbl 1362.16018
Geiß, Christof; Leclerc, Bernard; Schröer, Jan
12
2016
Dimensions of some locally analytic representations. Zbl 1397.22016
Schmidt, Tobias; Strauch, Matthias
9
2016
A Murnaghan-Nakayama rule for values of unipotent characters in classical groups. Zbl 1376.20015
Lübeck, Frank; Malle, Gunter
9
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
7
2016
An involution based left ideal in the Hecke algebra. Zbl 1378.20004
Lusztig, G.
6
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
6
2016
On equivalences for cohomological Mackey functors. Zbl 1350.20005
Linckelmann, Markus
4
2016
Projective normality of model varieties and related results. Zbl 1395.14039
Bravi, Paolo; Gandini, Jacopo; Maffei, Andrea
4
2016
Twisted Demazure modules, fusion product decomposition and twisted \(Q\)-systems. Zbl 1397.17029
Kus, Deniz; Venkatesh, R.
4
2016
On reducibility of \(p\)-adic principal series representations of \(p\)-adic groups. Zbl 1353.22008
Ban, Dubravka; Hundley, Joseph
3
2016
The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101
Vilonen, Kari; Xue, Ting
3
2016
...and 315 more Documents
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Cited by 2,141 Authors

49 Lusztig, George
39 Mazorchuk, Volodymyr
36 Stroppel, Catharina H.
32 Chari, Vyjayanthi
30 Hu, Jun
26 Brundan, Jonathan
26 Malle, Gunter
25 Achar, Pramod N.
25 Geck, Meinolf
25 Kleshchev, Alexander S.
24 Kashiwara, Masaki
24 Oh, Se-jin
24 Wang, Weiqiang
24 Williamson, Geordie
23 He, Xuhua
22 Losev, Ivan V.
22 Scrimshaw, Travis
22 Tiep Pham Huu
21 Bezrukavnikov, Roman
21 Navarro, Gabriel
21 Riche, Simon
20 Ciubotaru, Dan
20 Solleveld, Maarten
20 Webster, Ben
19 Schaeffer Fry, Amanda A.
17 Lauda, Aaron D.
16 Elias, Benjamin
16 Fourier, Ghislain
16 Kim, Myungho
16 Marberg, Eric
16 Neeb, Karl-Hermann
16 Schilling, Anne
16 Yakimov, Milen T.
15 Futorny, Vyacheslav M.
15 Park, Euiyong
15 Williams, Lauren K.
14 Coulembier, Kevin
14 Gan, Wee Teck
14 Khovanov, Mikhail G.
14 Lam, Thomas F.
14 Mathas, Andrew
14 Naito, Satoshi
14 Späth, Britta
14 Trapa, Peter E.
14 Tubbenhauer, Daniel
13 Arakawa, Tomoyuki
13 Aubert, Anne-Marie
13 Cautis, Sabin
13 Cheng, Shun-Jen
13 Feigin, Evgeny
13 Kang, Seok-Jin
13 Kobayashi, Toshiyuki
13 Liu, Baiying
13 Okado, Masato
13 Ólafsson, Gestur
13 Savin, Gordan
13 Xue, Ting
12 Doty, Stephen R.
12 Etingof, Pavel Il’ich
12 Jacon, Nicolas
12 Leites, Dimitry A.
12 Moura, Adriano A.
12 Sagaki, Daisuke
12 Vasserot, Eric
11 Bonnafé, Cédric
11 Bowman, Christopher David
11 Greenstein, Jacob
11 Henderson, Anthony
11 Hernandez, David
11 Kamnitzer, Joel
11 Kolb, Stefan
11 Lapid, Erez Moshe
11 Licata, Anthony M.
11 Rui, Hebing
11 Ryom-Hansen, Steen
11 Sussan, Joshua
11 Vallejo Rodríguez, Carolina
10 Bravi, Paolo
10 Chen, Chih-Whi
10 Fayers, Matthew
10 Gourevitch, Dmitry
10 Jing, Naihuan
10 Kato, Syu
10 Kujawa, Jonathan Robert
10 Kus, Deniz
10 Leclerc, Bernard
10 Mackaay, Marco
10 Opdam, Eric Marcus
10 Ørsted, Bent
10 Rietsch, Konstanze
10 Röhrle, Gerhard E.
10 Taylor, Jay
10 Varagnolo, Michela
10 Yun, Zhiwei
9 Andersen, Henning Haahr
9 Atobe, Hiraku
9 Barbasch, Dan M.
9 Chlouveraki, Maria
9 Cox, Anton
9 Finkelberg, Michael Vladlenovich
...and 2,041 more Authors
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Cited in 225 Journals

420 Journal of Algebra
249 Advances in Mathematics
233 Representation Theory
110 Journal of Pure and Applied Algebra
109 Mathematische Zeitschrift
97 Transactions of the American Mathematical Society
94 Transformation Groups
89 Algebras and Representation Theory
87 Selecta Mathematica. New Series
68 Compositio Mathematica
59 Communications in Algebra
59 Duke Mathematical Journal
54 Communications in Mathematical Physics
50 Journal of Algebraic Combinatorics
47 Inventiones Mathematicae
40 Journal für die Reine und Angewandte Mathematik
37 Israel Journal of Mathematics
36 Mathematische Annalen
36 Journal of the Institute of Mathematics of Jussieu
33 Proceedings of the American Mathematical Society
28 Journal of the American Mathematical Society
28 Journal of the European Mathematical Society (JEMS)
26 Pacific Journal of Mathematics
26 Journal of Algebra and its Applications
25 Journal of Number Theory
24 Journal of Functional Analysis
24 Journal of Lie Theory
24 Journal of High Energy Physics
23 Annales de l’Institut Fourier
21 Manuscripta Mathematica
20 Memoirs of the American Mathematical Society
20 Annals of Mathematics. Second Series
19 Journal of Combinatorial Theory. Series A
19 Proceedings of the London Mathematical Society. Third Series
19 Algebra & Number Theory
18 Letters in Mathematical Physics
17 Publications of the Research Institute for Mathematical Sciences, Kyoto University
17 Science China. Mathematics
17 Forum of Mathematics, Sigma
16 Nagoya Mathematical Journal
16 Algebraic Combinatorics
15 Journal of Mathematical Physics
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Canadian Journal of Mathematics
14 Journal of the London Mathematical Society. Second Series
14 Forum Mathematicum
14 Indagationes Mathematicae. New Series
13 The Electronic Journal of Combinatorics
13 Documenta Mathematica
12 Journal of Geometry and Physics
12 Séminaire Lotharingien de Combinatoire
11 International Journal of Mathematics
11 Quantum Topology
10 Theoretical and Mathematical Physics
10 Bulletin of the London Mathematical Society
10 Publications Mathématiques
10 Journal of the Australian Mathematical Society
10 Kyoto Journal of Mathematics
9 Glasgow Mathematical Journal
9 European Journal of Combinatorics
9 Algebra Colloquium
9 Frontiers of Mathematics in China
8 Bulletin of the American Mathematical Society. New Series
8 Experimental Mathematics
8 Applied Categorical Structures
8 Journal of Mathematical Sciences (New York)
8 Annals of Combinatorics
8 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
8 Forum of Mathematics, Pi
7 Nuclear Physics. B
7 Osaka Journal of Mathematics
7 Geometry & Topology
7 Oberwolfach Reports
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Archiv der Mathematik
6 Functional Analysis and its Applications
6 Proceedings of the Japan Academy. Series A
6 Advances in Applied Mathematics
6 International Journal of Algebra and Computation
6 Linear Algebra and its Applications
6 Acta Mathematica Sinica. English Series
6 Japanese Journal of Mathematics. 3rd Series
5 Acta Mathematica Vietnamica
5 Bulletin de la Société Mathématique de France
5 International Journal of Mathematics and Mathematical Sciences
5 Tôhoku Mathematical Journal. Second Series
5 São Paulo Journal of Mathematical Sciences
5 Arnold Mathematical Journal
5 European Journal of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Acta Mathematica
4 Michigan Mathematical Journal
4 Finite Fields and their Applications
4 Journal of Group Theory
4 Communications in Contemporary Mathematics
4 Journal of Nonlinear Mathematical Physics
4 Journal of Noncommutative Geometry
4 Research in the Mathematical Sciences
4 Journal de l’École Polytechnique – Mathématiques
...and 125 more Journals
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Cited in 50 Fields

1,350 Group theory and generalizations (20-XX)
1,286 Nonassociative rings and algebras (17-XX)
694 Topological groups, Lie groups (22-XX)
655 Algebraic geometry (14-XX)
624 Associative rings and algebras (16-XX)
458 Combinatorics (05-XX)
364 Number theory (11-XX)
217 Category theory; homological algebra (18-XX)
202 Quantum theory (81-XX)
115 Commutative algebra (13-XX)
70 Differential geometry (53-XX)
69 Manifolds and cell complexes (57-XX)
54 Special functions (33-XX)
51 Several complex variables and analytic spaces (32-XX)
49 Abstract harmonic analysis (43-XX)
42 \(K\)-theory (19-XX)
38 Dynamical systems and ergodic theory (37-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
33 Convex and discrete geometry (52-XX)
33 Statistical mechanics, structure of matter (82-XX)
30 Global analysis, analysis on manifolds (58-XX)
29 Functional analysis (46-XX)
24 Algebraic topology (55-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
13 Computer science (68-XX)
13 Mechanics of particles and systems (70-XX)
12 Operator theory (47-XX)
12 Relativity and gravitational theory (83-XX)
11 General and overarching topics; collections (00-XX)
10 Partial differential equations (35-XX)
10 Geometry (51-XX)
10 Probability theory and stochastic processes (60-XX)
8 Field theory and polynomials (12-XX)
6 Mathematical logic and foundations (03-XX)
4 Functions of a complex variable (30-XX)
3 Sequences, series, summability (40-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
2 Ordinary differential equations (34-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-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 Operations research, mathematical programming (90-XX)

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