Representation TheoryAn 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 Latest Issues 28 (2024) 27 (2023) 26 (2022) 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 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 all top 5 Fields 272 Group theory and generalizations (20-XX) 210 Topological groups, Lie groups (22-XX) 167 Nonassociative rings and algebras (17-XX) 95 Algebraic geometry (14-XX) 68 Number theory (11-XX) 58 Associative rings and algebras (16-XX) 43 Combinatorics (05-XX) 27 Category theory; homological algebra (18-XX) 14 Quantum theory (81-XX) 12 Abstract harmonic analysis (43-XX) 9 Commutative algebra (13-XX) 9 \(K\)-theory (19-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Algebraic topology (55-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-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 Geometry (51-XX) 1 General topology (54-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 436 Publications have been cited 4,806 times in 3,424 Documents Cited by ▼ Year ▼ A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117 Khovanov, Mikhail; Lauda, Aaron D. 304 2009 Weyl modules for classical and quantum affine algebras. Zbl 0989.17019 Chari, Vyjayanthi; Pressley, Andrew 114 2001 Kazhdan-Lusztig polynomials and a combinatorics for tilting modules. Zbl 0886.05123 Soergel, Wolfgang 94 1997 Soergel calculus. Zbl 1427.20006 Elias, Ben; Williamson, Geordie 84 2016 Total positivity in partial flag manifolds. Zbl 0895.14014 Lusztig, G. 78 1998 Highest weight categories arising from Khovanov’s diagram algebra. III: Category \(\mathcal O\). Zbl 1261.17006 Brundan, Jonathan; Stroppel, Catharina 76 2011 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008 Nakajima, Hiraku 70 2003 Height 0 characters of finite groups of Lie type. Zbl 1139.20008 Malle, Gunter 66 2007 Character formulas for tilting modules over Kac-Moody algebras. Zbl 0964.17018 Soergel, Wolfgang 48 1998 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 47 2001 Parametrizations of flag varieties. Zbl 1053.14057 Marsh, R. J.; Rietsch, K. 47 2004 Category \(\mathcal O\): quivers and endomorphism rings of projectives. Zbl 1050.17005 Stroppel, Catharina 44 2003 Whittaker modules for generalized Weyl algebras. Zbl 1251.16020 Benkart, Georgia; Ondrus, Matthew 43 2009 Multiplicity-free products and restrictions of Weyl characters. Zbl 1060.17001 Stembridge, John R. 43 2003 Twisting functors on \({\mathcal O}\). Zbl 1051.17004 Andersen, Henning Haahr; Stroppel, Catharina 43 2003 Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009 Okado, Masato; Schilling, Anne 43 2008 Centers of degenerate cyclotomic Hecke algebras and parabolic category \(\mathcal O\). Zbl 1202.20008 Brundan, Jonathan 42 2008 On Koszul duality for Kac-Moody groups. Zbl 1326.20051 Bezrukavnikov, Roman; Yun, Zhiwei 42 2013 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 On minimal representations definitions and properties. Zbl 1092.22012 Gan, Wee Teck; Savin, Gordan 39 2005 \(U({\mathfrak g})\)-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 The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046 Cox, Anton; De Visscher, Maud; Martin, Paul 36 2009 Kazhdan-Lusztig polynomials and a combinatorics for tilting modulus. (Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln.) Zbl 0886.05124 Soergel, Wolfgang 36 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 35 2003 Harish-Chandra bimodules for quantized Slodowy slices. Zbl 1250.17007 Ginzburg, Victor 32 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. 30 2003 Orbits in the flag variety and images of the moment map for classical groups. I. Zbl 0887.22017 Yamamoto, Atsuko 30 1997 The bar involution for quantum symmetric pairs. Zbl 1376.17018 Balagović, Martina; Kolb, Stefan 30 2015 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 29 2006 Koszul duality for parabolic and singular category \(\mathcal O\). Zbl 0999.17029 Backelin, Erik 29 1999 Deligne’s category \(\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})\) and representations of general linear supergroups. Zbl 1302.17010 Comes, Jonathan; Wilson, Benjamin 29 2012 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 28 1999 Left cells in type \(B_n\) with unequal parameters. Zbl 1070.20004 Bonnafé, Cédric; Iancu, Lacrimioara 28 2003 Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. Zbl 1065.20055 Bezrukavnikov, Roman 28 2003 Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005 Etingof, Pavel; Stoica, Emanuel 26 2009 Wall-crossing functors and \({\mathcal{D}}\)-modules. Zbl 0910.05068 Beilinson, Alexander; Ginzburg, Victor 26 1999 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. 26 2002 Bases in equivariant \(K\)-theory. Zbl 0901.20034 Lusztig, G. 25 1998 Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015 Bao, Huanchen 25 2017 Localization in quiver moduli spaces. Zbl 1302.14010 Weist, Thorsten 25 2013 Some closed formulas for canonical bases of Fock spaces. Zbl 1030.17014 Leclerc, Bernard; Miyachi, Hyohe 25 2002 Representations of reductive groups over finite rings. Zbl 1085.20029 Lusztig, G. 24 2004 The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014 Sergeev, Alexander 23 1999 Finite quaternionic matrix groups. Zbl 0901.20035 Nebe, Gabriele 23 1998 Representations of graded Hecke algebras. Zbl 1057.20003 Kriloff, Cathy; Ram, Arun 23 2002 The PBW filtration. Zbl 1229.17026 Feigin, Evgeny 22 2009 The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings. Zbl 0999.17031 Shchepochkina, Irina 22 1999 Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040 Guralnick, Robert M.; Tiep, Pham Huu 22 2005 Duality for admissible locally analytic representations. Zbl 1146.22301 Schneider, Peter; Teitelbaum, Jeremy 22 2005 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 Character values, Schur indices and character sheaves. Zbl 1065.20019 Geck, Meinolf 22 2003 Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011 Doty, Stephen 22 2003 \(p\)-rational characters and self-normalizing Sylow \(p\)-subgroups. Zbl 1146.20005 Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre 21 2007 The Fourier-Jacobi map and small representations. Zbl 1065.22015 Weissman, Martin H. 21 2003 Double affine Hecke algebras and Calogero-Moser spaces. Zbl 1078.20004 Oblomkov, Alexei 21 2004 Theta correspondences for \(\text{GSp}(4)\). Zbl 1239.11062 Gan, Wee Teck; Takeda, Shuichiro 21 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. 20 2006 Automorphisms of complex reflection groups. Zbl 1220.20036 Marin, I.; Michel, Jean 20 2010 Bases in equivariant \(K\)-theory. II. Zbl 0999.20036 Lusztig, G. 20 1999 Degenerate principal series for even-orthogonal groups. Zbl 1054.22015 Ban, Dubravka; Jantzen, Chris 20 2003 Wonderful varieties of type \(D\). Zbl 1222.14099 Bravi, Paolo; Pezzini, Guido 19 2005 Kazhdan-Lusztig cells and decomposition numbers. Zbl 0901.20004 Geck, Meinolf 19 1998 Character sheaves on disconnected groups. I. Zbl 1072.20052 Lusztig, G. 19 2004 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 18 1999 Character families of complex reflection groups. (Familles de caractères de groupes de réflexions complexes.) Zbl 1072.20007 Malle, Gunter; Rouquier, Raphaël 18 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 D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012 Frenkel, Edward; Gaitsgory, Dennis 17 2009 The Satake isomorphism for special maximal parahoric Hecke algebras. Zbl 1251.22013 Haines, Thomas J.; Rostami, Sean 17 2010 Hall polynomials for affine quivers. Zbl 1241.16011 Hubery, Andrew 17 2010 On some representations of the rational Cherednik algebra. Zbl 1070.20005 Chmutova, Tatyana; Etingof, Pavel 17 2003 Raising nilpotent orbits in wave-front sets. Zbl 1417.11087 Jiang, Dihua; Liu, Baiying; Savin, Gordan 17 2016 Counterexamples to the 0-1 conjecture. Zbl 1014.05068 McLarnan, Timothy J.; Warrington, Gregory S. 17 2003 Relative Kazhdan-Lusztig cells. Zbl 1139.20003 Geck, Meinolf 16 2006 Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups. Zbl 1233.17011 Mériaux, Antoine; Cauchon, Gérard 16 2010 On the asymptotics of Whittaker functions. Zbl 1193.22016 Lapid, Erez; Mao, Zhengyu 16 2009 Functions on the model orbit in \(E_{8}\). Zbl 0909.22027 Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun. 16 1998 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 Tempered endoscopy for real groups. III: Inversion of transfer and \(L\)-packet structure. Zbl 1159.22007 Shelstad, D. 16 2008 On certain small representations of indefinite orthogonal groups. Zbl 0887.22016 Zhu, Chen-bo; Huang, Jing-Song 16 1997 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 Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022 Cabanes, Marc; Späth, Britta 16 2017 On Mirković-Vilonen cycles and crystal combinatorics. Zbl 1217.20028 Baumann, Pierre; Gaussent, Stéphane 15 2008 Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016 Baur, Karin; Wallach, Nolan 15 2005 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 The rational Schur algebra. Zbl 1185.20052 Dipper, Richard; Doty, Stephen 14 2008 Double affine Hecke algebras at roots of unity. Zbl 1280.20005 Varagnolo, M.; Vasserot, E. 14 2010 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. 14 2000 Large Schubert varieties. Zbl 0947.14026 Brion, Michel; Polo, Patrick 14 2000 On the generic degrees of cyclotomic algebras. Zbl 0984.20005 Malle, Gunter 14 2000 Geometric braid group action on derived categories of coherent sheaves. With a joint appendix with Roman Bezrukavnikov. Zbl 1156.14014 Riche, Simon 14 2008 Unitriangular basic sets, Brauer characters and coprime actions. Zbl 1515.20061 Feng, Zhicheng; Späth, Britta 3 2023 On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions. Zbl 07752249 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 Braid group action and quasi-split affine \(\imath\)quantum groups. I. Zbl 07772658 Lu, Ming; Wang, Weiqiang; Zhang, Weinan 1 2023 On unipotent representations of ramified \(p\)-adic groups. Zbl 07730044 Solleveld, Maarten 1 2023 Duals and admissibility in natural characteristic. Zbl 07692190 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 Universal K-matrices for quantum Kac-Moody algebras. Zbl 1522.17017 Appel, Andrea; Vlaar, Bart 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 Towards combinatorial invariance for Kazhdan-Lusztig polynomials. Zbl 1509.20057 Blundell, Charles; Buesing, Lars; Davies, Alex; Veličković, Petar; Williamson, Geordie 4 2022 Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Zbl 1495.17021 Fujita, Ryo 4 2022 On Donkin’s tilting module conjecture. I: Lowering the prime. Zbl 07512767 Bendel, Christopher P.; Nakano, Daniel K.; Pillen, Cornelius; Sobaje, Paul 3 2022 On the socles of certain parabolically induced representations of \(p\)-adic classical groups. Zbl 1523.22018 Atobe, Hiraku 3 2022 Microlocal characterization of Lusztig sheaves for affine quivers and \(g\)-loops quivers. Zbl 1521.16011 Hennecart, Lucien 3 2022 Calculus of Archimedean Rankin-Selberg integrals with recurrence relations. Zbl 1519.11027 Ishii, Taku; Miyazaki, Tadashi 2 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 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 Relations between cusp forms sharing Hecke eigenvalues. Zbl 1512.11052 Prasad, Dipendra; Raghunathan, Ravi 1 2022 Coordinate rings and birational charts. Zbl 1522.22006 Fomin, Sergey; Lusztig, George 1 2022 The dependence on parameters of the inverse functor to the \(K\)-finite functor. Zbl 1518.22027 Wallach, Nolan R. 1 2022 Defect 2 spin blocks of symmetric groups and canonical basis coefficients. Zbl 07503369 Fayers, Matthew 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 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 Finite dimensional semigroups of unitary endomorphisms of standard subspaces. Zbl 1492.17010 Neeb, Karl-H. 7 2021 Quivers for \(\mathrm{SL}_2\) tilting modules. Zbl 1504.20046 Tubbenhauer, Daniel; Wedrich, Paul 7 2021 Characters and generation of Sylow 2-subgroups. Zbl 1480.20029 Navarro, Gabriel; Rizo, Noelia; Fry, A. A. Schaeffer; Vallejo, Carolina 5 2021 The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034 Larsen, Michael J.; Miller, Alexander R. 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 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 Irreducible tensor products of representations of covering groups of symmetric and alternating groups. Zbl 07368915 Morotti, Lucia 3 2021 Cohomological representations of parahoric subgroups. Zbl 1498.20113 Chan, Charlotte; Ivanov, Alexander 3 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 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 Parabolic induction via the parabolic pro-\(p\) Iwahori-Hecke algebra. Zbl 1482.11063 Heyer, Claudius 2 2021 Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. Zbl 1476.17009 Watanabe, Hideya 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 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 07383251 Ryba, Christopher 1 2021 Parametrizing torsion pairs in derived categories. Zbl 1474.18024 Hügel, Lidia Angeleri; Hrbek, Michal 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 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 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 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 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 Semisimple characters for inner forms. II: Quaternionic forms of \(p\)-adic classical groups (\(p\) odd). Zbl 1462.22003 Skodlerack, Daniel 2 2020 Local functions on finite groups. Zbl 1444.20020 Isaacs, I. M.; Navarro, Gabriel 2 2020 Speh representations are relatively discrete. Zbl 1477.22012 Smith, Jerrod Manford 1 2020 Partial flag manifolds over a semifield. Zbl 07253455 Lusztig, G. 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 Irreducible restrictions of representations of alternating groups in small characteristics: reduction theorems. Zbl 1480.20036 Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu 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 Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 1473.17031 Molev, Alexander; Yakimova, Oksana 13 2019 Cartan subalgebras for quantum symmetric pair coideals. Zbl 1472.17057 Letzter, Gail 13 2019 Quiver varieties and symmetric pairs. Zbl 1403.16009 Li, Yiqiang 13 2019 Rationality of blocks of quasi-simple finite groups. Zbl 1472.20019 Farrell, Niamh; Kessar, Radha 8 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 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 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 10 2018 Dualities for root systems with automorphisms and applications to non-split groups. Zbl 1430.20005 Haines, Thomas J. 8 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. 5 2018 Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045 Lusztig, G. 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 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 Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015 Bao, Huanchen 25 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 12 2017 \(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035 Lusztig, George; Yun, Zhiwei 11 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. 7 2017 Dual Bernstein center for classical groups. (Centre de Bernstein dual pour les groupes classiques.) Zbl 1379.22016 Moussaoui, Ahmed 6 2017 The Peterson variety and the wonderful compactification. Zbl 1428.20040 Bălibanu, Ana 6 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 The unicity of types for depth-zero supercuspidal representations. Zbl 1464.22003 Latham, Peter 6 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 \(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. II. 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Zbl 1427.17027 McNamara, Peter J.; Tingley, Peter 3 2017 ...and 336 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,239 Authors 53 Lusztig, George 41 Mazorchuk, Volodymyr 37 Stroppel, Catharina H. 34 Chari, Vyjayanthi 34 Wang, Weiqiang 33 Hu, Jun 27 Achar, Pramod N. 27 Brundan, Jonathan 27 Geck, Meinolf 27 Malle, Gunter 26 Kleshchev, Alexander S. 26 Williamson, Geordie 25 He, Xuhua 25 Kashiwara, Masaki 25 Oh, Se-jin 22 Losev, Ivan V. 22 Riche, Simon 22 Scrimshaw, Travis 22 Tiep Pham Huu 22 Webster, Ben 21 Bezrukavnikov, Roman 21 Navarro, Gabriel 20 Ciubotaru, Dan 20 Solleveld, Maarten 19 Elias, Benjamin 19 Schaeffer Fry, Amanda A. 17 Fourier, Ghislain 17 Kim, Myungho 17 Lauda, Aaron D. 17 Tubbenhauer, Daniel 16 Khovanov, Mikhail G. 16 Marberg, Eric 16 Neeb, Karl-Hermann 16 Park, Euiyong 16 Schilling, Anne 16 Williams, Lauren K. 16 Yakimov, Milen T. 15 Futorny, Vyacheslav M. 15 Gan, Wee Teck 15 Lam, Thomas F. 15 Späth, Britta 14 Aubert, Anne-Marie 14 Coulembier, Kevin 14 Jacon, Nicolas 14 Kobayashi, Toshiyuki 14 Mathas, Andrew 14 Naito, Satoshi 14 Ólafsson, Gestur 14 Savin, Gordan 14 Trapa, Peter E. 14 Xue, Ting 13 Arakawa, Tomoyuki 13 Bonnafé, Cédric 13 Cautis, Sabin 13 Cheng, Shun-Jen 13 Doty, Stephen R. 13 Etingof, Pavel Il’ich 13 Fayers, Matthew 13 Feigin, Evgeny 13 Kang, Seok-Jin 13 Leites, Dimitry A. 13 Liu, Baiying 13 Okado, Masato 12 Bowman, Christopher David 12 Chen, Chih-Whi 12 Kamnitzer, Joel 12 Lapid, Erez Moshe 12 Moura, Adriano A. 12 Rui, Hebing 12 Sagaki, Daisuke 12 Vasserot, Eric 11 Bravi, Paolo 11 Greenstein, Jacob 11 Henderson, Anthony 11 Hernandez, David 11 Jing, Naihuan 11 Kolb, Stefan 11 Kus, Deniz 11 Leclerc, Bernard 11 Licata, Anthony M. 11 Ørsted, Bent 11 Ryom-Hansen, Steen 11 Sussan, Joshua 11 Vallejo Rodríguez, Carolina 11 Varagnolo, Michela 11 Vaz, Pedro 10 Andersen, Henning Haahr 10 Atobe, Hiraku 10 Chlouveraki, Maria 10 Galashin, Pavel 10 Gourevitch, Dmitry 10 Kato, Syu 10 Kujawa, Jonathan Robert 10 Libedinsky, Nicolas 10 Mackaay, Marco 10 Opdam, Eric Marcus 10 Rietsch, Konstanze 10 Röhrle, Gerhard E. 10 Serganova, Vera V. 10 Song, Linliang ...and 2,139 more Authors all top 5 Cited in 235 Journals 431 Journal of Algebra 256 Advances in Mathematics 242 Representation Theory 114 Mathematische Zeitschrift 112 Journal of Pure and Applied Algebra 103 Transformation Groups 100 Transactions of the American Mathematical Society 98 Algebras and Representation Theory 93 Selecta Mathematica. New Series 70 Compositio Mathematica 62 Communications in Algebra 61 Duke Mathematical Journal 57 Communications in Mathematical Physics 51 Journal of Algebraic Combinatorics 48 Inventiones Mathematicae 42 Journal für die Reine und Angewandte Mathematik 37 Israel Journal of Mathematics 37 Mathematische Annalen 37 Journal of the Institute of Mathematics of Jussieu 34 Proceedings of the American Mathematical Society 30 Journal of the European Mathematical Society (JEMS) 29 Journal of the American Mathematical Society 29 Journal of Algebra and its Applications 27 Journal of Number Theory 27 Pacific Journal of Mathematics 27 Journal of Lie Theory 26 Journal of Functional Analysis 24 Manuscripta Mathematica 24 Journal of High Energy Physics 23 Annales de l’Institut Fourier 23 Algebra & Number Theory 22 Memoirs of the American Mathematical Society 21 Proceedings of the London Mathematical Society. Third Series 20 Letters in Mathematical Physics 20 Annals of Mathematics. 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New Series 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 European Journal of Combinatorics 9 Bulletin of the American Mathematical Society. New Series 9 Algebra Colloquium 9 Frontiers of Mathematics in China 8 Nuclear Physics. B 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 Acta Mathematica Sinica. English Series 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Osaka Journal of Mathematics 7 Geometry & Topology 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 Japanese Journal of Mathematics. 3rd Series 6 Journal of Combinatorial Algebra 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 Journal of Physics A: Mathematical and Theoretical 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 American Journal of Mathematics 4 Journal of the Indian Institute of Science 4 Journal of the Korean Mathematical Society 4 Michigan Mathematical Journal ...and 135 more Journals all top 5 Cited in 51 Fields 1,446 Group theory and generalizations (20-XX) 1,348 Nonassociative rings and algebras (17-XX) 737 Topological groups, Lie groups (22-XX) 699 Algebraic geometry (14-XX) 652 Associative rings and algebras (16-XX) 485 Combinatorics (05-XX) 395 Number theory (11-XX) 240 Category theory; homological algebra (18-XX) 221 Quantum theory (81-XX) 120 Commutative algebra (13-XX) 76 Differential geometry (53-XX) 69 Manifolds and cell complexes (57-XX) 59 Special functions (33-XX) 56 Several complex variables and analytic spaces (32-XX) 53 Abstract harmonic analysis (43-XX) 44 \(K\)-theory (19-XX) 44 Dynamical systems and ergodic theory (37-XX) 40 Linear and multilinear algebra; matrix theory (15-XX) 37 Statistical mechanics, structure of matter (82-XX) 35 Convex and discrete geometry (52-XX) 34 Global analysis, analysis on manifolds (58-XX) 31 Functional analysis (46-XX) 26 Algebraic topology (55-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 17 General and overarching topics; collections (00-XX) 15 Mechanics of particles and systems (70-XX) 14 Computer science (68-XX) 13 Operator theory (47-XX) 12 Relativity and gravitational theory (83-XX) 11 Partial differential equations (35-XX) 10 Geometry (51-XX) 10 Probability theory and stochastic processes (60-XX) 8 Field theory and polynomials (12-XX) 7 Mathematical logic and foundations (03-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Approximations and expansions (41-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) 1 Difference and functional equations (39-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) Citations by Year