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: 546 Publications (since 1997) References Indexed: 545 Publications with 12,723 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 53 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 Ortega, 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 Kumar, Shrawan 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 Ghate, Eknath P. 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 Jiang, Dihua 2 Kamnitzer, Joel 2 Kim, Ju-Lee 2 Kleshchev, Alexander S. 2 Knapp, Anthony William 2 Kolb, Stefan 2 Krötz, Bernhard J. 2 Latham, Peter E. ...and 455 more Authors all top 5 Fields 278 Group theory and generalizations (20-XX) 215 Topological groups, Lie groups (22-XX) 171 Nonassociative rings and algebras (17-XX) 97 Algebraic geometry (14-XX) 72 Number theory (11-XX) 61 Associative rings and algebras (16-XX) 43 Combinatorics (05-XX) 27 Category theory; homological algebra (18-XX) 15 Quantum theory (81-XX) 12 Abstract harmonic analysis (43-XX) 11 Commutative algebra (13-XX) 9 \(K\)-theory (19-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Algebraic topology (55-XX) 6 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 Dynamical systems and ergodic theory (37-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 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 449 Publications have been cited 5,199 times in 3,692 Documents Cited by ▼ Year ▼ A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117 Khovanov, Mikhail; Lauda, Aaron D. 335 2009 Weyl modules for classical and quantum affine algebras. Zbl 0989.17019 Chari, Vyjayanthi; Pressley, Andrew 118 2001 Kazhdan-Lusztig polynomials and a combinatorics for tilting modules. Zbl 0886.05123 Soergel, Wolfgang 102 1997 Soergel calculus. Zbl 1427.20006 Elias, Ben; Williamson, Geordie 95 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. 81 1998 \(t\)-analogs of \(q\)-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Zbl 1078.17008 Nakajima, Hiraku 73 2003 Height 0 characters of finite groups of Lie type. Zbl 1139.20008 Malle, Gunter 68 2007 Parametrizations of flag varieties. Zbl 1053.14057 Marsh, B. R.; Rietsch, K. 54 2004 Character formulas for tilting modules over Kac-Moody algebras. Zbl 0964.17018 Soergel, Wolfgang 51 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 48 2001 Whittaker modules for generalized Weyl algebras. Zbl 1251.16020 Benkart, Georgia; Ondrus, Matthew 47 2009 Existence of Kirillov–Reshetikhin crystals for nonexceptional types. Zbl 1243.17009 Okado, Masato; Schilling, Anne 46 2008 On minimal representations definitions and properties. Zbl 1092.22012 Gan, Wee Teck; Savin, Gordan 44 2005 On Koszul duality for Kac-Moody groups. Zbl 1326.20051 Bezrukavnikov, Roman; Yun, Zhiwei 44 2013 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 44 2003 Centers of degenerate cyclotomic Hecke algebras and parabolic category \(\mathcal O\). Zbl 1202.20008 Brundan, Jonathan 43 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 40 1997 The blocks of the Brauer algebra in characteristic zero. Zbl 1230.20046 Cox, Anton; De Visscher, Maud; Martin, Paul 40 2009 From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045 Lusztig, G. 39 2011 \(U({\mathfrak g})\)-finite locally analytic representations. Zbl 1028.17007 Schneider, P.; Teitelbaum, J.; Prasad, Dipendra 38 2001 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 35 2009 The bar involution for quantum symmetric pairs. Zbl 1376.17018 Balagović, Martina; Kolb, Stefan 34 2015 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 33 2006 Deligne’s category \(\underline{\mathrm{Rep}}(\operatorname{GL}_{\delta})\) and representations of general linear supergroups. Zbl 1302.17010 Comes, Jonathan; Wilson, Benjamin 32 2012 Orbits in the flag variety and images of the moment map for classical groups. I. Zbl 0887.22017 Yamamoto, Atsuko 30 1997 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 Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone. Zbl 1065.20055 Bezrukavnikov, Roman 30 2003 Koszul duality for parabolic and singular category \(\mathcal O\). Zbl 0999.17029 Backelin, Erik 29 1999 Cherednik algebras and Hilbert schemes in characteristic \(p\). With an appendix by Pavel Etingof. Zbl 1130.14005 Bezrukavnikov, Roman; Finkelberg, Michael; Ginzburg, Victor 29 2006 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. 29 2002 Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005 Etingof, Pavel; Stoica, Emanuel 28 2009 The invariant polynomials on simple Lie superalgebras. Zbl 0999.17016 Sergeev, Alexander 28 1999 Localization in quiver moduli spaces. Zbl 1302.14010 Weist, Thorsten 28 2013 Kazhdan-Lusztig theory of super type D and quantum symmetric pairs. Zbl 1411.17015 Bao, Huanchen 28 2017 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 Wall-crossing functors and \({\mathcal{D}}\)-modules. Zbl 0910.05068 Beilinson, Alexander; Ginzburg, Victor 27 1999 Representations of reductive groups over finite rings. Zbl 1085.20029 Lusztig, G. 26 2004 Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007 Lusztig, G. 26 2002 The PBW filtration. Zbl 1229.17026 Feigin, Evgeny 25 2009 Some closed formulas for canonical bases of Fock spaces. Zbl 1030.17014 Leclerc, Bernard; Miyachi, Hyohe 25 2002 Finite quaternionic matrix groups. Zbl 0901.20035 Nebe, Gabriele 24 1998 The five exceptional simple Lie superalgebras of vector fields and their fourteen regradings. Zbl 0999.17031 Shchepochkina, Irina 24 1999 On the classification of irreducible representations of affine Hecke algebras with unequal parameters. Zbl 1272.20003 Solleveld, Maarten 24 2012 Duality for admissible locally analytic representations. Zbl 1146.22301 Schneider, Peter; Teitelbaum, Jeremy 24 2005 \(p\)-rational characters and self-normalizing Sylow \(p\)-subgroups. Zbl 1146.20005 Navarro, Gabriel; Tiep, Pham Huu; Turull, Alexandre 24 2007 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 24 2003 Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011 Doty, Stephen 24 2003 The Howe duality and the projective representations of symmetric groups. Zbl 0999.17014 Sergeev, Alexander 23 1999 Theta correspondences for \(\text{GSp}(4)\). Zbl 1239.11062 Gan, Wee Teck; Takeda, Shuichiro 23 2011 Preprojective algebras and MV polytopes. Zbl 1242.05273 Baumann, Pierre; Kamnitzer, Joel 23 2012 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 The Fourier-Jacobi map and small representations. Zbl 1065.22015 Weissman, Martin H. 22 2003 Automorphisms of complex reflection groups. Zbl 1220.20036 Marin, I.; Michel, Jean 21 2010 Degenerate principal series for even-orthogonal groups. Zbl 1054.22015 Ban, Dubravka; Jantzen, Chris 21 2003 Kazhdan-Lusztig cells and decomposition numbers. Zbl 0901.20004 Geck, Meinolf 20 1998 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 Bases in equivariant \(K\)-theory. II. Zbl 0999.20036 Lusztig, G. 20 1999 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 19 1999 Wonderful varieties of type \(D\). Zbl 1222.14099 Bravi, Paolo; Pezzini, Guido 19 2005 Character sheaves on disconnected groups. I. Zbl 1072.20052 Lusztig, G. 19 2004 Character families of complex reflection groups. (Familles de caractères de groupes de réflexions complexes.) Zbl 1072.20007 Malle, Gunter; Rouquier, Raphaël 19 2003 The Satake isomorphism for special maximal parahoric Hecke algebras. Zbl 1251.22013 Haines, Thomas J.; Rostami, Sean 18 2010 Dirac operators and Lie algebra cohomology. Zbl 1134.22011 Huang, Jing-Song; Pandžić, Pavle; Renard, David 18 2006 Tempered endoscopy for real groups. III: Inversion of transfer and \(L\)-packet structure. Zbl 1159.22007 Shelstad, D. 18 2008 Hall polynomials for affine quivers. Zbl 1241.16011 Hubery, Andrew 18 2010 On some representations of the rational Cherednik algebra. Zbl 1070.20005 Chmutova, Tatyana; Etingof, Pavel 18 2003 Functions on the model orbit in \(E_{8}\). Zbl 0909.22027 Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun. 17 1998 On certain small representations of indefinite orthogonal groups. Zbl 0887.22016 Zhu, Chen-bo; Huang, Jing-Song 17 1997 Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups. Zbl 0968.14029 Polo, Patrick 17 1999 On the asymptotics of Whittaker functions. Zbl 1193.22016 Lapid, Erez; Mao, Zhengyu 17 2009 D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012 Frenkel, Edward; Gaitsgory, Dennis 17 2009 Jacquet modules of \(p\)-adic general linear groups. Zbl 1139.22014 Jantzen, Chris 17 2007 Raising nilpotent orbits in wave-front sets. Zbl 1417.11087 Jiang, Dihua; Liu, Baiying; Savin, Gordan 17 2016 Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups. Zbl 1233.17011 Mériaux, Antoine; Cauchon, Gérard 17 2010 Counterexamples to the 0-1 conjecture. Zbl 1014.05068 McLarnan, Timothy J.; Warrington, Gregory S. 17 2003 Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 1473.17031 Molev, Alexander; Yakimova, Oksana 17 2019 On Mirković-Vilonen cycles and crystal combinatorics. Zbl 1217.20028 Baumann, Pierre; Gaussent, Stéphane 16 2008 Relative Kazhdan-Lusztig cells. Zbl 1139.20003 Geck, Meinolf 16 2006 The rational Schur algebra. Zbl 1185.20052 Dipper, Richard; Doty, Stephen 16 2008 On the representation theory of Iwahori-Hecke algebras of extended finite Weyl groups. Zbl 0983.20006 Geck, Meinolf 16 2000 Quivers with relations for symmetrizable Cartan matrices. III: Convolution algebras. Zbl 1362.16018 Geiß, Christof; Leclerc, Bernard; Schröer, Jan 16 2016 Double affine Hecke algebras at roots of unity. Zbl 1280.20005 Varagnolo, M.; Vasserot, E. 16 2010 Inductive McKay condition for finite simple groups of type \(\mathsf {C}\). Zbl 1475.20022 Cabanes, Marc; Späth, Britta 16 2017 Quiver varieties and symmetric pairs. Zbl 1403.16009 Li, Yiqiang 16 2019 Unramified representations of reductive groups over finite rings. Zbl 1220.20043 Stasinski, Alexander 15 2009 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 Geometric braid group action on derived categories of coherent sheaves. With a joint appendix with Roman Bezrukavnikov. Zbl 1156.14014 Riche, Simon 15 2008 On the generic degrees of cyclotomic algebras. Zbl 0984.20005 Malle, Gunter 15 2000 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 \( \imath\)Hall algebras of weighted projective lines and quantum symmetric pairs. Zbl 07819594 Lu, Ming; Ruan, Shiquan 3 2024 Co-\(t\)-structures on derived categories of coherent sheaves and the cohomology of tilting modules. Zbl 1532.20048 Achar, Pramod N.; Hardesty, William 1 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 1542.17031 Lu, Ming; Wang, Weiqiang; Zhang, Weinan 3 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 2 2023 Unipotent character sheaves and strata of a reductive group. Zbl 1542.20221 Lusztig, G. 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 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 1540.22044 Solleveld, Maarten 1 2023 On the generalised Springer correspondence for groups of type \(E_8\). Zbl 1528.20014 Hetz, Jonas 1 2023 Non-admissible irreducible representations of \(p\)-adic \(\mathrm{GL}_n\) in characteristic \(p\). Zbl 1537.22047 Ghate, Eknath; Le, Daniel; Sheth, Mihir 1 2023 Unitary representations of totally disconnected locally compact groups satisfying Ol’šhanskiĭ’s factorisation. Zbl 1542.22007 Semal, Lancelot 1 2023 Universal K-matrices for quantum Kac-Moody algebras. Zbl 1522.17017 Appel, Andrea; Vlaar, Bart 15 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 Towards combinatorial invariance for Kazhdan-Lusztig polynomials. Zbl 1509.20057 Blundell, Charles; Buesing, Lars; Davies, Alex; Veličković, Petar; Williamson, Geordie 8 2022 Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Zbl 1495.17021 Fujita, Ryo 7 2022 Character sheaves for classical symmetric pairs. Zbl 1527.20077 Vilonen, Kari; Xue, Ting 6 2022 Calculus of Archimedean Rankin-Selberg integrals with recurrence relations. Zbl 1519.11027 Ishii, Taku; Miyazaki, Tadashi 5 2022 On the socles of certain parabolically induced representations of \(p\)-adic classical groups. Zbl 1523.22018 Atobe, Hiraku 5 2022 Derived equivalences and equivariant Jordan decomposition. Zbl 1503.18010 Ruhstorfer, Lucas 5 2022 Stable maps, \(Q\)-operators and category \(\mathcal{O}\). Zbl 1502.17013 Hernandez, David 5 2022 The contraction category of graphs. Zbl 1505.05065 Proudfoot, Nicholas; Ramos, Eric 3 2022 Homological invariants of the arrow removal operation. Zbl 1483.18011 Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind 3 2022 An integral second fundamental theorem of invariant theory for partition algebras. Zbl 07503377 Bowman, Chris; Doty, Stephen; Martin, Stuart 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 Inverse Satake isomorphism and change of weight. Zbl 1517.20009 Abe, N.; Herzig, F.; Vignéras, M. F. 2 2022 Relations between cusp forms sharing Hecke eigenvalues. Zbl 1512.11052 Prasad, Dipendra; Raghunathan, Ravi 2 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 Branching of metaplectic representation of \(\mathrm{Sp}(2, \mathbb{R})\) under its principal \(\mathrm{SL}(2, \mathbb{R})\)-subgroup. Zbl 1537.22035 Zhang, Genkai 1 2022 Defect 2 spin blocks of symmetric groups and canonical basis coefficients. Zbl 07503369 Fayers, Matthew 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 Quivers for \(\mathrm{SL}_2\) tilting modules. Zbl 1504.20046 Tubbenhauer, Daniel; Wedrich, Paul 9 2021 Finite dimensional semigroups of unitary endomorphisms of standard subspaces. Zbl 1492.17010 Neeb, Karl-H. 8 2021 Parametrizing torsion pairs in derived categories. Zbl 1474.18024 Hügel, Lidia Angeleri; Hrbek, Michal 7 2021 Characters and generation of Sylow 2-subgroups. Zbl 1480.20029 Navarro, Gabriel; Rizo, Noelia; Fry, A. A. Schaeffer; Vallejo, Carolina 6 2021 The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034 Larsen, Michael J.; Miller, Alexander R. 6 2021 Global crystal bases for integrable modules over a quantum symmetric pair of type AIII. Zbl 1476.17009 Watanabe, Hideya 6 2021 Cohomological representations of parahoric subgroups. Zbl 1498.20113 Chan, Charlotte; Ivanov, Alexander 5 2021 Irreducible tensor products of representations of covering groups of symmetric and alternating groups. Zbl 1542.20081 Morotti, Lucia 5 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 On unitary representations of algebraic groups over local fields. Zbl 1487.22017 Bekka, Bachir; Echterhoff, Siegfried 4 2021 Simple and projective correspondence functors. Zbl 1506.18004 Bouc, Serge; Thévenaz, Jacques 3 2021 Parabolic induction via the parabolic pro-\(p\) Iwahori-Hecke algebra. Zbl 1482.11063 Heyer, Claudius 2 2021 Varieties of elementary abelian Lie algebras and degrees of modules. Zbl 1489.17017 Chang, Hao; Farnsteiner, Rolf 2 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 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 1543.81093 Montealegre-Mora, Felipe; Gross, David 2 2021 Gradings of Lie algebras, magical spin geometries and matrix factorizations. Zbl 1479.17032 Abuaf, Roland; Manivel, Laurent 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 Dilogarithm and higher \(\mathscr{L} \)-invariants for \(\operatorname{GL}_3(\mathbb{Q}_p)\). Zbl 1477.11110 Qian, Zicheng 1 2021 Littlewood complexes for symmetric groups. Zbl 1535.20077 Ryba, Christopher 1 2021 Mirković-Vilonen basis in type \(A_1\). Zbl 1509.22007 Baumann, Pierre; Demarais, Arnaud 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 Parametrization, structure and Bruhat order of certain spherical quotients. Zbl 1491.14075 Chaput, Pierre-Emmanuel; Fresse, Lucas; Gobet, Thomas 1 2021 Intertwining maps between \(p\)-adic principal series of \(p\)-adic groups. Zbl 1509.22009 Ban, Dubravka; Hundley, Joseph 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 Invariant measures on nilpotent orbits associated with holomorphic discrete series. Zbl 1509.22008 Božičević, Mladen 1 2021 A quantum Mirković-Vybornov isomorphism. Zbl 1496.17013 Webster, Ben; Weekes, Alex; Yacobi, Oded 5 2020 Semisimple characters for inner forms. II: Quaternionic forms of \(p\)-adic classical groups (\(p\) odd). Zbl 1462.22003 Skodlerack, Daniel 4 2020 Spinoriality of orthogonal representations of reductive groups. Zbl 1530.20158 Joshi, Rohit; Spallone, Steven 3 2020 Resolving irreducible \(\mathbb{C}S_n\)-modules by modules restricted from \(\mathrm{GL}_n(\mathbb{C})\). Zbl 1444.05148 Ryba, Christopher 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 Degenerate principal series for classical and odd \(\mathrm{GSpin}\) groups in the general case. Zbl 1454.22006 Kim, Yeansu; Liu, Baiying; Matić, Ivan 2 2020 The Grothendieck group of unipotent representations: a new basis. Zbl 1503.20012 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 Local functions on finite groups. Zbl 1444.20020 Isaacs, I. M.; Navarro, Gabriel 2 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 \( \mathbb{Z}/m\)-graded Lie algebras and perverse sheaves. IV. Zbl 1451.17011 Lusztig, George; Yun, Zhiwei 1 2020 Speh representations are relatively discrete. Zbl 1477.22012 Smith, Jerrod Manford 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 Quantisation and nilpotent limits of Mishchenko-Fomenko subalgebras. Zbl 1473.17031 Molev, Alexander; Yakimova, Oksana 17 2019 Quiver varieties and symmetric pairs. Zbl 1403.16009 Li, Yiqiang 16 2019 Cartan subalgebras for quantum symmetric pair coideals. Zbl 1472.17057 Letzter, Gail 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 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 4 2019 An induction theorem for groups acting on trees. Zbl 1515.20271 Weissman, Martin H. 2 2019 The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials. Zbl 1472.17056 Lanini, Martina; Ram, Arun 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 Dualities for root systems with automorphisms and applications to non-split groups. Zbl 1430.20005 Haines, Thomas J. 11 2018 Duality for classical \(p\)-adic groups: the half-integral case. Zbl 1414.22020 Jantzen, Chris 10 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. 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Zbl 1475.20022 Cabanes, Marc; Späth, Britta 16 2017 ...and 349 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,381 Authors 56 Lusztig, George 43 Mazorchuk, Volodymyr 38 Stroppel, Catharina H. 36 Wang, Weiqiang 35 Chari, Vyjayanthi 33 Hu, Jun 31 Oh, Se-jin 30 Kashiwara, Masaki 29 Achar, Pramod N. 29 Malle, Gunter 28 Brundan, Jonathan 28 Navarro Ortega, Gabriel 28 Williamson, Geordie 27 Geck, Meinolf 26 He, Xuhua 26 Kleshchev, Alexander S. 26 Webster, Ben 24 Tiep Pham Huu 23 Losev, Ivan V. 23 Riche, Simon 23 Scrimshaw, Travis 22 Kim, Myungho 22 Solleveld, Maarten 21 Bezrukavnikov, Roman 20 Ciubotaru, Dan 20 Park, Euiyong 20 Schaeffer Fry, Amanda A. 19 Elias, Benjamin 19 Tubbenhauer, Daniel 18 Lam, Thomas F. 18 Lauda, Aaron D. 18 Yakimov, Milen T. 17 Fourier, Ghislain 17 Marberg, Eric 17 Neeb, Karl-Hermann 17 Schilling, Anne 16 Aubert, Anne-Marie 16 Coulembier, Kevin 16 Gan, Wee Teck 16 Khovanov, Mikhail G. 16 Mathas, Andrew 16 Savin, Gordan 16 Williams, Lauren K. 15 Doty, Stephen R. 15 Feigin, Evgeny 15 Futorny, Vyacheslav M. 15 Jacon, Nicolas 15 Kamnitzer, Joel 15 Ólafsson, Gestur 15 Späth, Britta 14 Arakawa, Tomoyuki 14 Bowman, Christopher David 14 Cheng, Shun-Jen 14 Fayers, Matthew 14 Jing, Naihuan 14 Kobayashi, Toshiyuki 14 Naito, Satoshi 14 Okado, Masato 14 Trapa, Peter E. 14 Xue, Ting 13 Bonnafé, Cédric 13 Cautis, Sabin 13 Chen, Chih-Whi 13 Etingof, Pavel Il’ich 13 Kang, Seok-Jin 13 Kujawa, Jonathan Robert 13 Leites, Dimitry A. 13 Liu, Baiying 13 Rui, Hebing 12 Galashin, Pavel 12 Kolb, Stefan 12 Kus, Deniz 12 Lapid, Erez Moshe 12 Leclerc, Bernard 12 Libedinsky, Nicolas 12 Moura, Adriano A. 12 Ryom-Hansen, Steen 12 Sagaki, Daisuke 12 Vallejo Rodríguez, Carolina 12 Vasserot, Eric 11 Abe, Noriyuki 11 Atobe, Hiraku 11 Bravi, Paolo 11 Gourevitch, Dmitry 11 Greenstein, Jacob 11 Henderson, Anthony 11 Hernandez, David 11 Kato, Syu 11 Licata, Anthony M. 11 Ørsted, Bent 11 Serganova, Vera V. 11 Song, Linliang 11 Sussan, Joshua 11 Taylor, Jay 11 Varagnolo, Michela 11 Vaz, Pedro 11 Yun, Zhiwei 10 Andersen, Henning Haahr 10 Barbasch, Dan M. 10 Chlouveraki, Maria ...and 2,281 more Authors all top 5 Cited in 248 Journals 457 Journal of Algebra 268 Advances in Mathematics 248 Representation Theory 121 Mathematische Zeitschrift 118 Journal of Pure and Applied Algebra 107 Transformation Groups 106 Algebras and Representation Theory 101 Transactions of the American Mathematical Society 97 Selecta Mathematica. New Series 76 Compositio Mathematica 66 Duke Mathematical Journal 65 Communications in Algebra 63 Communications in Mathematical Physics 51 Inventiones Mathematicae 51 Journal of Algebraic Combinatorics 43 Mathematische Annalen 42 Journal für die Reine und Angewandte Mathematik 41 Israel Journal of Mathematics 41 Journal of the Institute of Mathematics of Jussieu 37 Proceedings of the London Mathematical Society. Third Series 34 Proceedings of the American Mathematical Society 32 Journal of the European Mathematical Society (JEMS) 29 Journal of Number Theory 29 Journal of the American Mathematical Society 29 Journal of Lie Theory 29 Journal of Algebra and its Applications 28 Manuscripta Mathematica 27 Journal of Functional Analysis 27 Pacific Journal of Mathematics 26 Journal of the London Mathematical Society. Second Series 26 Memoirs of the American Mathematical Society 26 Journal of High Energy Physics 24 Algebra & Number Theory 23 Annales de l’Institut Fourier 22 Letters in Mathematical Physics 22 Algebraic Combinatorics 21 Forum of Mathematics, Sigma 20 Annals of Mathematics. Second Series 20 Science China. Mathematics 19 Journal of Combinatorial Theory. Series A 19 Publications of the Research Institute for Mathematical Sciences, Kyoto University 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18 Nagoya Mathematical Journal 17 Bulletin of the London Mathematical Society 17 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 14 Journal of the Australian Mathematical Society 13 Journal of Geometry and Physics 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 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 Theoretical and Mathematical Physics 11 International Journal of Mathematics 11 Kyoto Journal of Mathematics 11 Forum of Mathematics, Pi 10 Glasgow Mathematical Journal 10 Publications Mathématiques 9 Archiv der Mathematik 9 European Journal of Combinatorics 9 Algebra Colloquium 9 Annals of Combinatorics 9 Acta Mathematica Sinica. English Series 9 Frontiers of Mathematics in China 8 Osaka Journal of Mathematics 8 Advances in Applied Mathematics 8 Experimental Mathematics 8 Applied Categorical Structures 8 Journal of Mathematical Sciences (New York) 8 Journal of Combinatorial Algebra 7 Functional Analysis and its Applications 7 Geometry & Topology 7 Japanese Journal of Mathematics. 3rd Series 6 Proceedings of the Japan Academy. Series A 6 International Journal of Algebra and Computation 6 Linear Algebra and its Applications 6 Communications in Contemporary Mathematics 6 Journal of Noncommutative Geometry 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 Glasnik Matematički. Serija III 5 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 5 Journal of Nonlinear Mathematical Physics 5 São Paulo Journal of Mathematical Sciences 5 Arnold Mathematical Journal 5 European Journal of Mathematics ...and 148 more Journals all top 5 Cited in 51 Fields 1,557 Group theory and generalizations (20-XX) 1,441 Nonassociative rings and algebras (17-XX) 800 Topological groups, Lie groups (22-XX) 761 Algebraic geometry (14-XX) 700 Associative rings and algebras (16-XX) 522 Combinatorics (05-XX) 434 Number theory (11-XX) 279 Category theory; homological algebra (18-XX) 244 Quantum theory (81-XX) 137 Commutative algebra (13-XX) 81 Differential geometry (53-XX) 78 Manifolds and cell complexes (57-XX) 65 Special functions (33-XX) 61 Several complex variables and analytic spaces (32-XX) 54 Abstract harmonic analysis (43-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 46 Dynamical systems and ergodic theory (37-XX) 45 \(K\)-theory (19-XX) 40 Statistical mechanics, structure of matter (82-XX) 35 Convex and discrete geometry (52-XX) 35 Global analysis, analysis on manifolds (58-XX) 32 Functional analysis (46-XX) 31 Algebraic topology (55-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 18 General and overarching topics; collections (00-XX) 17 Computer science (68-XX) 17 Mechanics of particles and systems (70-XX) 14 Partial differential equations (35-XX) 14 Relativity and gravitational theory (83-XX) 13 Operator theory (47-XX) 11 Geometry (51-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mathematical logic and foundations (03-XX) 9 Field theory and polynomials (12-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-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) Citations by Year