Edit Profile (opens in new tab) Lusztig, George Co-Author Distance Author ID: lusztig.george Published as: Lusztig, George; Lusztig, G.; Lustig, George; Lusztig, Gheorghe; Lustig, G. more...less Homepage: https://math.mit.edu/directory/profile.php?pid=164 External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Shaw Prize (2014) · Wolf Prize (2022) Documents Indexed: 306 Publications since 1965, including 6 Books and 29 Additional arXiv Preprints 7 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 53 Co-Authors with 70 Joint Publications 1,704 Co-Co-Authors all top 5 Co-Authors 242 single-authored 10 Kazhdan, David 8 Yun, Zhiwei 6 Jerison, David S. 6 Vogan, David Alexander jun. 6 Yau, Shing-Tung 4 Mazur, Barry 4 Schmid, Wilfried 4 Spaltenstein, Nicolas 3 Alvis, Dean L. 3 Carter, Roger William 3 de Jong, Aise Johan 3 Deligne, Pierre 3 He, Xuhua 2 Bott, Raoul Harry 2 De Concini, Corrado 2 Grojnowski, Ian 2 Jaffe, Arthur Michael 2 Kashiwara, Masaki 2 Kawanaka, Noriaki 2 Kim, Ju-Lee 2 MacPherson, Robert Duncan 2 Procesi, Claudio 2 Shinoda, Kenichi 2 Shoji, Toshiaki 2 Singer, Isadore Manuel 2 Williamson, Geordie 2 Xue, Ting 1 Asai, Teruaki 1 Beilinson, Alexander A. 1 Beynon, W. Meurig 1 Borho, Walter 1 Brylinski, Jean-Luc 1 Donaldson, Simon Kirwan 1 Dupont, Johan L. 1 Fan, C. Kenneth 1 Fomin, Sergey Vladimirovich 1 Green, James Alexander 1 Gyoja, Akihiko 1 Hitchin, Nigel 1 Hotta, Ryoshi 1 Jeffrey, Lisa Claire 1 Kato, Shin-ichi 1 Kirwan, Frances Clare 1 Kronheimer, Peter Benedict 1 Kumar, Shrawan 1 Lawrence-Naimar, Ruth 1 Lehrer, Gustav Isaac 1 Li, Gongqin 1 Milnor, John Willard 1 Moscovici, Henri 1 Mrowka, Tomasz 1 Peterson, Franklin P. 1 Prasad, Dipendra 1 Rietsch, Konstanze 1 Schroers, Bernd J. 1 Smelt, J. M. 1 Sommers, Eric N. 1 Springer, Tonny Albert 1 Srinivasan, Bhama 1 Stanley, Richard Peter 1 Tits, Jacques 1 Witten, Edward 1 Xi, Nanhua all top 5 Serials 52 Representation Theory 20 Advances in Mathematics 17 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 12 Journal of Algebra 11 Journal of the American Mathematical Society 10 Inventiones Mathematicae 7 Transformation Groups 5 The Asian Journal of Mathematics 5 Moscow Mathematical Journal 4 Duke Mathematical Journal 3 Bulletin of the London Mathematical Society 3 Pacific Journal of Mathematics 3 Studii și Cercetări Matematice 3 IMRN. International Mathematics Research Notices 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Analele Universității din Timișoara. Științe Matematice 2 Indagationes Mathematicae 2 Publications Mathématiques 2 Journal of the Faculty of Science. Section I A 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Topology 2 Transactions of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Indagationes Mathematicae. New Series 2 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 2 Annals of Mathematics. Second Series 2 Annals of Mathematics Studies 2 Forum of Mathematics, Pi 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Selecta Mathematica. New Series 1 The Quarterly Journal of Mathematics 1 Milan Journal of Mathematics 1 Proceedings of the Cambridge Philosophical Society 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Bulletin of the American Mathematical Society 1 Pure and Applied Mathematics Quarterly 1 Advanced Studies in Pure Mathematics 1 CRM Monograph Series 1 Progress in Mathematics 1 Progress of Theoretical Physics. Supplement 1 Regional Conference Series in Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Science China. Mathematics 1 ICCM Notices 1 Journal of Combinatorial Algebra 1 Modern Birkhäuser Classics all top 5 Fields 234 Group theory and generalizations (20-XX) 95 Algebraic geometry (14-XX) 68 Nonassociative rings and algebras (17-XX) 37 Topological groups, Lie groups (22-XX) 19 Associative rings and algebras (16-XX) 8 General and overarching topics; collections (00-XX) 8 \(K\)-theory (19-XX) 7 Category theory; homological algebra (18-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Manifolds and cell complexes (57-XX) 4 Combinatorics (05-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 251 Publications have been cited 9,906 times in 4,721 Documents Cited by ▼ Year ▼ Representations of Coxeter groups and Hecke algebras. Zbl 0499.20035 Kazhdan, David; Lusztig, George 805 1979 Introduction to quantum groups. Zbl 0788.17010 Lusztig, George 714 1993 Canonical bases arising from quantized enveloping algebras. Zbl 0703.17008 Lusztig, George 447 1990 Representations of reductive groups over finite fields. Zbl 0336.20029 Deligne, Pierre; Lusztig, G. 396 1976 Characters of reductive groups over a finite field. Zbl 0556.20033 Lusztig, George 339 1984 Affine Hecke algebras and their graded version. Zbl 0715.22020 Lusztig, George 247 1989 Quantum groups at roots of 1. Zbl 0714.17013 Lusztig, George 231 1990 Quantum deformations of certain simple modules over enveloping algebras. Zbl 0651.17007 Lusztig, George 217 1988 Quivers, perverse sheaves, and quantized enveloping algebras. Zbl 0738.17011 Lusztig, George 202 1991 Total positivity in reductive groups. Zbl 0845.20034 Lusztig, G. 194 1994 Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. Zbl 0695.16006 Lusztig, George 193 1990 Proof of the Deligne-Langlands conjecture for Hecke algebras. Zbl 0613.22004 Kazhdan, David; Lusztig, George 171 1987 Tensor structures arising from affine Lie algebras. I, II. Zbl 0786.17017 Kazhdan, David; Lusztig, George 169 1993 Hecke algebras with unequal parameters. Zbl 1051.20003 Lusztig, George 163 2003 Intersection cohomology complexes on a reductive group. Zbl 0547.20032 Lusztig, G. 159 1984 A geometric setting for the quantum deformation of \(\mathrm{GL}_n\). Zbl 0713.17012 Beilinson, A. A.; Lusztig, George; MacPherson, Robert 149 1990 Schubert varieties and Poincaré duality. Zbl 0461.14015 Kazhdan, David; Lusztig, George 141 1980 Singularities, character formulas, and a \(q\)-analog of weight multiplicities. Zbl 0561.22013 Lusztig, George 135 1983 Irreducible representations of finite classical groups. Zbl 0372.20033 Lusztig, G. 134 1977 Introduction to quantum groups. Reprint of the 1994 ed. Zbl 1246.17018 Lusztig, George 123 2010 On the modular representations of the general linear and symmetric groups. Zbl 0298.20009 Carter, Roger W.; Lusztig, George 121 1974 Some examples of square integrable representations of semisimple \(p\)-adic groups. Zbl 0526.22015 Lusztig, George 120 1983 Green polynomials and singularities of unipotent classes. Zbl 0473.20029 Lusztig, G. 116 1981 Induced unipotent classes. Zbl 0407.20035 Lusztig, G.; Spaltenstein, N. 107 1979 Cells in affine Weyl groups. II. Zbl 0625.20032 Lusztig, George 98 1987 Coxeter orbits and eigenspaces of Frobenius. Zbl 0366.20031 Lusztig, G. 96 1976 Hecke algebras and Jantzen’s generic decomposition patterns. Zbl 0448.20039 Lusztig, George 90 1980 Tensor structures arising from affine Lie algebras. IV. Zbl 0802.17008 Kazhdan, David; Lusztig, George 90 1994 Canonical bases arising from quantized enveloping algebras. II. Zbl 0776.17012 Lusztig, George 79 1990 Total positivity in partial flag manifolds. Zbl 0895.14014 Lusztig, G. 78 1998 Tensor structures arising from affine Lie algebras. III. Zbl 0802.17007 Kazhdan, David; Lusztig, George 78 1994 Cuspidal local systems and graded Hecke algebras. I. Zbl 0699.22026 Lusztig, George 75 1988 Character sheaves. V. Zbl 0602.20036 Lusztig, George 73 1986 On the finiteness of the number of unipotent classes. Zbl 0371.20039 Lusztig, G. 71 1976 Singularities of closures of K-orbits on flag manifolds. Zbl 0544.14035 Lusztig, George; Vogan, David A. jun. 69 1983 Character sheaves. I. Zbl 0586.20018 Lusztig, George 69 1985 A class of irreducible representations of a Weyl group. Zbl 0435.20021 Lusztig, G. 62 1979 Fixed point varieties on affine flag manifolds. Zbl 0658.22005 Kazhdan, David; Lusztig, George 61 1988 Classification of unipotent representations of simple \(p\)-adic groups. Zbl 0872.20041 Lusztig, George 60 1995 Cells in affine Weyl groups. IV. Zbl 0688.20020 Lusztig, George 60 1989 Homology of the zero-set of a nilpotent vector field on a flag manifold. Zbl 0646.14034 de Concini, C.; Lusztig, George; Procesi, C. 57 1988 On a theorem of Benson and Curtis. Zbl 0465.20042 Lusztig, George 52 1981 The characters of the finite unitary groups. Zbl 0384.20008 Lusztig, George; Srinivasan, Bhama 51 1977 Left cells in Weyl groups. Zbl 0537.20019 Lusztig, G. 49 1983 A topological approach to Springer’s representations. Zbl 0458.20035 Kazhdan, David; Lusztig, George 49 1980 Canonical bases in tensor products. Zbl 0760.17011 Lusztig, George 47 1992 Representations of finite Chevalley groups. Expository lectures from the CBMS regional conference held at Madison, Wisconsin, August 8-12, 1977. Zbl 0418.20037 Lusztig, George 47 1978 Green functions and character sheaves. Zbl 0695.20024 Lusztig, George 46 1990 Affine Lie algebras and quantum groups. Zbl 0726.17015 Kazhdan, David; Lusztig, George 46 1991 Semicanonical bases arising from enveloping algebras. Zbl 0983.17009 Lusztig, G. 45 2000 Cuspidal local systems and graded Hecke algebras. II. Zbl 0841.22013 Lusztig, George 45 1995 A unipotent support for irreducible representations. Zbl 0789.20042 Lusztig, George 42 1992 Affine quivers and canonical bases. Zbl 0776.17013 Lusztig, George 38 1992 Unipotent characters of the symplectic and odd orthogonal groups over a finite field. Zbl 0477.20023 Lusztig, George 37 1981 Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\). Zbl 0983.17011 Lusztig, G. 37 1999 From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045 Lusztig, G. 37 2011 On bases of irreducible representations of quantum \(\text{GL}_ n\). Zbl 0815.20029 Grojnowski, I.; Lusztig, George 36 1992 Some numerical results on the characters of exceptional Weyl groups. Zbl 0416.20033 Beynon, W. M.; Lusztig, G. 36 1978 Modular representations and quantum groups. Zbl 0665.20022 Lusztig, George 35 1989 Character sheaves. II. Zbl 0586.20019 Lusztig, George 35 1985 Introduction to total positivity. Zbl 0929.20035 Lusztig, George 34 1998 A comparison of bases of quantized enveloping algebras. Zbl 1009.17502 Grojnowski, I.; Lusztig, G. 34 1993 Leading coefficients of character values of Hecke algebras. Zbl 0657.20037 Lusztig, George 33 1987 On quiver varieties. Zbl 0915.17008 Lusztig, G. 33 1998 On quantum groups. Zbl 0698.16007 Lusztig, George 33 1990 Monodromic systems on affine flag manifolds. Zbl 0829.17018 Lusztig, George 33 1994 Erratum to: Character sheaves. V. Zbl 0606.20036 Lusztig, George 32 1986 Cells in affine Weyl groups. Zbl 0569.20032 Lusztig, George 31 1985 Hecke algebras and involutions in Weyl groups. Zbl 1288.20006 Lusztig, George; Vogan, David A. jun. 31 2012 Tight monomials in quantized enveloping algebras. Zbl 0948.17501 Lusztig, G. 30 1993 Modular representations of finite groups of Lie type. Zbl 0338.20013 Carter, R. W.; Lusztig, G. 29 1976 Braid group action and canonical bases. Zbl 0861.17008 Lusztig, George 29 1996 Notes on unipotent classes. Zbl 0929.20034 Lusztig, G. 28 1997 Novikov’s higher signature and families of elliptic operators. Zbl 0265.57009 Lusztig, Gheorghe 28 1972 Some problems in the representation theory of finite Chevalley groups. Zbl 0453.20005 Lusztig, George 28 1980 On the generalized Springer correspondence for classical groups. Zbl 0579.20035 Lusztig, G.; Spaltenstein, N. 27 1985 Canonical bases and Hall algebras. Zbl 0934.17010 Lusztig, George 26 1998 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 On the character values of finite Chevalley groups at unipotent elements. Zbl 0603.20037 Lusztig, George 25 1986 Canonical left cells in affine Weyl groups. Zbl 0664.20028 Lusztig, George; Xi, Nanhua 24 1988 Representations of reductive groups over finite rings. Zbl 1085.20029 Lusztig, G. 24 2004 Cells in affine Weyl groups. III. Zbl 0631.20028 Lusztig, George 23 1987 Homology bases arising from reductive groups over a finite field. Zbl 0930.20041 Lusztig, G. 23 1998 Equivariant K-theory and representations of Hecke algebras. Zbl 0571.22014 Lusztig, George 23 1985 On the representations of reductive groups with disconnected centre. Zbl 0703.20036 Lusztig, George 23 1988 Symmetric spaces over a finite field. Zbl 0773.20012 Lusztig, George 23 1990 Cells in affine Weyl groups and tensor categories. Zbl 0884.20026 Lusztig, G. 23 1997 A bar operator for involutions in a Coxeter group. Zbl 1283.20045 Lusztig, George 23 2012 The representations and generic degrees of the Hecke algebra of type \(H_ 4\). Zbl 0488.20034 Alvis, Dean; Lusztig, George 22 1982 Rationality properties of unipotent representations. Zbl 1141.20300 Lusztig, G. 22 2002 Semi-characteristics and cobordism. Zbl 0165.26302 Lusztig, G.; Peterson, F. P.; Milnor, John W. 22 1969 Character sheaves. III. Zbl 0594.20031 Lusztig, George 22 1985 Character sheaves. IV. Zbl 0602.20035 Lusztig, George 22 1986 A class of irreducible representations of a Weyl group. II. Zbl 0511.20034 Lusztig, George 20 1982 Bases in equivariant \(K\)-theory. II. Zbl 0999.20036 Lusztig, G. 20 1999 Intersection cohomology methods in representation theory. Zbl 0749.14010 Lusztig, George 20 1991 On Springer’s correspondence for simple groups of type \(E_n\) (\(n=6,7,8\)) (with an appendix by N. Spaltenstein). Zbl 0492.20028 Alvis, Dean; Lusztig, George 19 1982 Character sheaves on disconnected groups. I. Zbl 1072.20052 Lusztig, G. 19 2004 From Weyl groups to semisimple groups. Zbl 1515.20258 Lusztig, G. 1 2023 A parametrization of unipotent representations. Zbl 07622520 Lusztig, George 1 2022 Coordinate rings and birational charts. Zbl 1522.22006 Fomin, Sergey; Lusztig, George 1 2022 Strata of a disconnected reductive group. Zbl 1471.20029 Lusztig, G. 2 2021 Total positivity in Springer fibres. Zbl 1475.20080 Lusztig, G. 1 2021 Endoscopy for Hecke categories, character sheaves and representations. Zbl 1484.20084 Lusztig, George; Yun, Zhiwei 7 2020 Positive structures in Lie theory. Zbl 1481.22012 Lusztig, G. 5 2020 The Grothendieck group of unipotent representations: a new basis. Zbl 1503.20012 Lusztig, G. 2 2020 Partial flag manifolds over a semifield. Zbl 07253455 Lusztig, G. 1 2020 The flag manifold over the semifield \(Z\). Zbl 1481.20181 Lusztig, G. 1 2020 On conjugacy classes in the Lie group \(E_8\). Zbl 1499.22018 Lusztig, George 1 2020 Total positivity in reductive groups. II. Zbl 1522.20199 Lusztig, G. 8 2019 On the generalized Springer correspondence. Zbl 1481.20179 Lusztig, G. 4 2019 Conjugacy classes in reductive groups and two-sided cells. Zbl 1472.20107 Lusztig, G. 3 2019 A new basis for the representation ring of a Weyl group. Zbl 1477.20086 Lusztig, G. 1 2019 Memories of Sir Michael Atiyah. Zbl 1431.01042 Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Billiards and tilting characters for \(\mathrm{SL}_3\). Zbl 1447.20007 Lusztig, George; Williamson, Geordie 12 2018 On the character of certain tilting modules. Zbl 1392.20039 Lusztig, George; Williamson, Geordie 6 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 On the definition of almost characters. Zbl 1455.20031 Lusztig, G. 3 2018 Hecke modules based on involutions in extended Weyl groups. Zbl 1502.20003 Lusztig, G. 2 2018 Special representations of Weyl groups: a positivity property. Zbl 1473.20010 Lusztig, G. 1 2018 \(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035 Lusztig, George; Yun, Zhiwei 11 2017 The canonical basis of the quantum adjoint representation. Zbl 1422.17019 Lusztig, George 6 2017 \(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. II. Zbl 1419.17036 Lusztig, George; Yun, Zhiwei 3 2017 Generic character sheaves on groups over \(\mathbf k[\epsilon]/(\epsilon^r)\). Zbl 1405.20040 Lusztig, G. 3 2017 Non-unipotent representations and categorical centers. Zbl 1483.20080 Lusztig, George 2 2017 Exceptional representations of Weyl groups. Zbl 1371.20004 Lusztig, G. 1 2017 An involution based left ideal in the Hecke algebra. Zbl 1378.20004 Lusztig, G. 7 2016 Non-unipotent character sheaves as a categorical centre. Zbl 1473.14034 Lusztig, George 1 2016 On conjugacy classes in a reductive group. Zbl 1343.20050 Lusztig, George 12 2015 Unipotent representations as a categorical centre. Zbl 1360.20041 Lusztig, G. 7 2015 Restriction of a character sheaf to conjugacy classes. Zbl 1399.20051 Lusztig, G. 7 2015 Truncated convolution of character sheaves. Zbl 1360.20042 Lusztig, George 7 2015 Unipotent almost characters of simple \(p\)-adic groups. Zbl 1323.22007 Lusztig, G. 5 2015 On the character of certain irreducible modular representations. Zbl 1316.20049 Lusztig, G. 4 2015 Hecke algebras and involutions in Coxeter groups. Zbl 1343.20008 Lusztig, George; Vogan, David A. jun. 4 2015 Some power series involving involutions in Coxeter groups. Zbl 1348.20042 Lusztig, G. 2 2015 Action of longest element on a Hecke algebra cell module. Zbl 1337.20003 Lusztig, George 1 2015 Asymptotic Hecke algebras and involutions. Zbl 1301.20005 Lusztig, G. 9 2014 Quasisplit Hecke algebras and symmetric spaces. Zbl 1300.20006 Lusztig, George; Vogan, David A. jun. 5 2014 Unipotent almost characters of simple \(p\)-adic groups: II. Zbl 1300.22011 Lusztig, G. 4 2014 Families and Springer’s correspondence. Zbl 1301.20035 Lusztig, George 3 2014 Distinguished conjugacy classes and elliptic Weyl group elements. Zbl 1303.20052 Lusztig, G. 3 2014 On the characters of unipotent representations of a semisimple \(p\)-adic group. Zbl 1302.22012 Kim, Ju-Lee; Lusztig, George 3 2013 On the Steinberg character of a semisimple \(p\)-adic group. Zbl 1291.22018 Kim, Ju-Lee; Lusztig, George 2 2013 A \((-q)\)-analogue of weight multiplicities. Zbl 1295.20046 Lusztig, George; Yun, Zhiwei 2 2013 Hecke algebras and involutions in Weyl groups. Zbl 1288.20006 Lusztig, George; Vogan, David A. jun. 31 2012 A bar operator for involutions in a Coxeter group. Zbl 1283.20045 Lusztig, George 23 2012 A generalization of Steinberg’s cross section. Zbl 1252.20047 He, Xuhua; Lusztig, George 12 2012 On the cleanness of cuspidal character sheaves. Zbl 1263.20044 Lusztig, G. 11 2012 From conjugacy classes in the Weyl group to unipotent classes. II. Zbl 1264.20043 Lusztig, G. 10 2012 Elliptic elements in a Weyl group: a homogeneity property. Zbl 1282.20054 Lusztig, G. 5 2012 From conjugacy classes in the Weyl group to unipotent classes. III. Zbl 1307.20040 Lusztig, G. 5 2012 On the representations of disconnected reductive groups over \(F_q\). Zbl 1320.20044 Lusztig, G. 2 2012 Elliptic Weyl group elements and unipotent isometries with \(p=2\). Zbl 1247.20051 Lusztig, George; Xue, Ting 1 2012 From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045 Lusztig, G. 37 2011 Piecewise linear parametrization of canonical bases. Zbl 1255.17009 Lusztig, G. 10 2011 Unipotent elements in small characteristic. III. (With an appendix with T. Xue). Zbl 1243.20061 Lusztig, G. 10 2011 On certain varieties attached to a Weyl group element. Zbl 1288.20059 Lusztig, G. 9 2011 On \(C\)-small conjugacy classes in a reductive group. Zbl 1238.20062 Lusztig, G. 7 2011 Study of antiorbital complexes. Zbl 1257.20047 Lusztig, G. 5 2011 On some partitions of a flag manifold. Zbl 1220.20042 Lusztig, George 3 2011 From groups to symmetric spaces. Zbl 1239.20053 Lusztig, G. 2 2011 Introduction to quantum groups. Reprint of the 1994 ed. Zbl 1246.17018 Lusztig, George 123 2010 Unipotent elements in small characteristic. IV. Zbl 1247.20050 Lusztig, G. 7 2010 Graded Lie algebras and intersection cohomology. Zbl 1231.20044 Lusztig, G. 6 2010 Parabolic character sheaves. III. Zbl 1229.20041 Lusztig, G. 4 2010 Unipotent classes and special Weyl group representations. Zbl 1234.20055 Lusztig, G. 17 2009 Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. Zbl 1160.20037 Kumar, Shrawan; Lusztig, George; Prasad, Dipendra 13 2009 Study of a \(\mathbb{Z}\)-form of the coordinate ring of a reductive group. Zbl 1236.20051 Lusztig, G. 8 2009 Remarks on Springer’s representations. Zbl 1250.17008 Lusztig, G. 7 2009 Twelve bridges from a reductive group to its Langlands dual. Zbl 1169.20025 Lusztig, G. 4 2009 Character sheaves on disconnected groups. X. Zbl 1233.20041 Lusztig, G. 3 2009 A survey of total positivity. Zbl 1176.15045 Lusztig, G. 12 2008 Unipotent elements in small characteristic. II. Zbl 1196.20056 Lusztig, G. 10 2008 Irreducible representations of finite spin groups. Zbl 1152.20040 Lusztig, G. 5 2008 Singular supports for character sheaves on a group compactification. Zbl 1152.20042 He, Xuhua; Lusztig, George 2 2008 Generic character sheaves on disconnected groups and character values. Zbl 1218.20029 Lusztig, G. 1 2008 A class of perverse sheaves on a partial flag manifold. Zbl 1163.20030 Lusztig, G. 3 2007 Character sheaves and generalizations. Zbl 1105.20042 Lusztig, G. 12 2006 Character sheaves on disconnected groups. IX. Zbl 1161.20039 Lusztig, G. 3 2006 Character sheaves on disconnected groups. VIII. Zbl 1160.20038 Lusztig, G. 2 2006 Unipotent elements in small characteristic. Zbl 1107.20036 Lusztig, G. 17 2005 Character sheaves on disconnected groups. VII. Zbl 1078.20047 Lusztig, G. 14 2005 Representations of reductive groups over finite rings. Zbl 1085.20029 Lusztig, G. 24 2004 Character sheaves on disconnected groups. I. Zbl 1072.20052 Lusztig, G. 19 2004 Parabolic character sheaves. I. Zbl 1102.20030 Lusztig, George 18 2004 Parabolic character sheaves. II. Zbl 1103.20041 Lusztig, G. 15 2004 Character sheaves on disconnected groups. IV. Zbl 1075.20013 Lusztig, G. 9 2004 An induction theorem for Springer’s representations. Zbl 1138.20311 Lusztig, G. 9 2004 Character sheaves on disconnected groups. II. Zbl 1073.20036 Lusztig, G. 8 2004 Character sheaves on disconnected groups. III. Zbl 1074.20031 Lusztig, G. 5 2004 Character sheaves on disconnected groups. VI. Zbl 1077.20058 Lusztig, G. 4 2004 Character sheaves on disconnected groups. V. Zbl 1076.20031 Lusztig, G. 3 2004 Convolution of almost characters. Zbl 1072.20053 Lusztig, G. 1 2004 Hecke algebras with unequal parameters. Zbl 1051.20003 Lusztig, George 163 2003 Homomorphisms of the alternating group \({\mathcal A}_5\) into reductive groups. Zbl 1074.20030 Lusztig, G. 7 2003 Constructible functions on varieties attached to quivers. Zbl 1090.17002 Lusztig, G. 6 2003 ...and 151 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,832 Authors 135 Lusztig, George 48 Geck, Meinolf 44 Wang, Weiqiang 36 He, Xuhua 35 Du, Jie 31 Shoji, Toshiaki 30 Mazorchuk, Volodymyr 30 Shi, Jianyi 29 Kashiwara, Masaki 29 Malle, Gunter 28 Hu, Jun 27 Kazhdan, David 27 Williamson, Geordie 26 Bonnafé, Cédric 26 Stroppel, Catharina H. 26 Williams, Lauren K. 25 Andersen, Henning Haahr 25 Brenti, Francesco 25 Ciubotaru, Dan 25 Tiep Pham Huu 24 Achar, Pramod N. 24 Kang, Seok-Jin 23 Bezrukavnikov, Roman 23 Solleveld, Maarten 23 Vasserot, Eric 23 Yakimov, Milen T. 22 Aubert, Anne-Marie 21 Joseph, Anthony 21 Lam, Thomas F. 20 Andruskiewitsch, Nicolás 20 Brundan, Jonathan 20 Li, Yiqiang 20 Riche, Simon 20 Xi, Nanhua 19 Chari, Vyjayanthi 19 Doty, Stephen R. 19 Dudas, Olivier 19 Leclerc, Bernard 18 Finkelberg, Michael Vladlenovich 18 Henderson, Anthony 18 Lu, Ming 18 Scott, Leonard L. 18 Varagnolo, Michela 18 Xiao, Jie 17 Etingof, Pavel Il’ich 17 Fu, Qiang 17 Green, Richard M. 17 Khovanov, Mikhail G. 17 Lehrer, Gustav Isaac 17 Marberg, Eric 17 Opdam, Eric Marcus 17 Parshall, Brian J. 17 Rouquier, Raphaël 16 Barbasch, Dan M. 16 Deng, Bangming 16 Jing, Naihuan 16 Lauda, Aaron D. 16 Michel, Jean 16 Yun, Zhiwei 15 Creutzig, Thomas 15 Kamnitzer, Joel 15 Karp, Steven N. 15 Kwon, Jae-Hoon 15 Misra, Kailash C. 15 Rietsch, Konstanze 15 Terwilliger, Paul M. 15 Tingley, Peter W. 15 Tubbenhauer, Daniel 14 Cox, Ben Lewis 14 Feĭgin, Boris L’vovich 14 Galashin, Pavel 14 Hu, Naihong 14 Pylyavskyy, Pavlo 14 Reineke, Markus 14 Srinivasan, Bhama 14 Taylor, Jay 14 Vinroot, C. Ryan 14 Zelevinskiĭ, Andreĭ V. 14 Zhang, Ruibin 13 Cherednik, Ivan V. 13 Fan, Zhaobing 13 Futorny, Vyacheslav M. 13 Ginzburg, Victor 13 Helminck, Aloysius G. 13 Kleshchev, Alexander S. 13 Libedinsky, Nicolas 13 Marietti, Mario 13 Marsh, Bethany Rose 13 Naito, Satoshi 13 Ostrik, Victor Valentinovich 13 Tanisaki, Toshiyuki 13 Webster, Ben 13 Xue, Ting 12 Berenstein, Arkady 12 Caselli, Fabrizio 12 Collingwood, David H. 12 Elias, Benjamin 12 Littelmann, Peter 12 Losev, Ivan V. 12 Nakashima, Toshiki ...and 2,732 more Authors all top 5 Cited in 251 Serials 716 Journal of Algebra 366 Advances in Mathematics 247 Representation Theory 160 Communications in Algebra 150 Transactions of the American Mathematical Society 139 Journal of Pure and Applied Algebra 129 Communications in Mathematical Physics 124 Duke Mathematical Journal 122 Transformation Groups 119 Inventiones Mathematicae 116 Mathematische Zeitschrift 114 Selecta Mathematica. New Series 85 Algebras and Representation Theory 79 Journal of Algebraic Combinatorics 74 Compositio Mathematica 59 Mathematische Annalen 58 Proceedings of the American Mathematical Society 57 Journal of Mathematical Physics 57 Journal of the American Mathematical Society 47 Journal of Combinatorial Theory. Series A 43 Letters in Mathematical Physics 37 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 36 Israel Journal of Mathematics 32 Journal für die Reine und Angewandte Mathematik 32 Indagationes Mathematicae. New Series 31 Journal of Algebra and its Applications 30 Manuscripta Mathematica 29 Publications of the Research Institute for Mathematical Sciences, Kyoto University 29 Journal of the Institute of Mathematics of Jussieu 28 Annales de l’Institut Fourier 28 Nagoya Mathematical Journal 27 Séminaire Lotharingien de Combinatoire 27 Annals of Mathematics. Second Series 26 Bulletin of the American Mathematical Society. New Series 26 Journal of High Energy Physics 25 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 24 Memoirs of the American Mathematical Society 22 Pacific Journal of Mathematics 22 Science China. Mathematics 20 Journal of the European Mathematical Society (JEMS) 20 Algebraic Combinatorics 19 European Journal of Combinatorics 18 Publications Mathématiques 18 The Electronic Journal of Combinatorics 17 Journal of Geometry and Physics 16 Archiv der Mathematik 16 Communications in Contemporary Mathematics 16 Algebraic & Geometric Topology 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 15 Journal of the London Mathematical Society. Second Series 15 Advances in Applied Mathematics 15 Forum of Mathematics, Sigma 14 Nuclear Physics. B 14 Functional Analysis and its Applications 14 Algebra & Number Theory 13 Bulletin of the London Mathematical Society 13 Proceedings of the Japan Academy. Series A 13 Proceedings of the London Mathematical Society. Third Series 13 Acta Mathematica Sinica. English Series 13 Oberwolfach Reports 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 International Journal of Mathematics 12 Annals of Combinatorics 11 Bulletin de la Société Mathématique de France 11 Glasgow Mathematical Journal 11 Linear Algebra and its Applications 11 Journal of Lie Theory 11 Journal of Group Theory 11 Quantum Topology 10 Discrete Mathematics 10 Journal of Functional Analysis 10 Journal of Number Theory 10 Michigan Mathematical Journal 10 Tôhoku Mathematical Journal. Second Series 10 Acta Applicandae Mathematicae 10 Experimental Mathematics 10 Forum of Mathematics, Pi 9 Canadian Journal of Mathematics 9 Osaka Journal of Mathematics 9 Journal of Knot Theory and its Ramifications 9 Algebra Colloquium 8 International Journal of Algebra and Computation 8 Journal of Mathematical Sciences (New York) 8 Finite Fields and their Applications 7 Tokyo Journal of Mathematics 7 Journal of Symbolic Computation 7 Forum Mathematicum 7 Applicable Algebra in Engineering, Communication and Computing 7 Documenta Mathematica 7 Frontiers of Mathematics in China 7 Kyoto Journal of Mathematics 7 Journal of Combinatorial Algebra 6 Theoretical and Mathematical Physics 6 Acta Mathematica 6 Acta Mathematica Vietnamica 6 Journal of Soviet Mathematics 6 Geometric and Functional Analysis. GAFA 6 Journal of Algebraic Geometry 6 Annales Mathématiques Blaise Pascal ...and 151 more Serials all top 5 Cited in 51 Fields 2,307 Group theory and generalizations (20-XX) 1,948 Nonassociative rings and algebras (17-XX) 1,037 Algebraic geometry (14-XX) 873 Associative rings and algebras (16-XX) 712 Combinatorics (05-XX) 648 Topological groups, Lie groups (22-XX) 415 Quantum theory (81-XX) 318 Number theory (11-XX) 284 Category theory; homological algebra (18-XX) 183 Manifolds and cell complexes (57-XX) 136 Commutative algebra (13-XX) 87 Special functions (33-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 83 Algebraic topology (55-XX) 81 Several complex variables and analytic spaces (32-XX) 81 Differential geometry (53-XX) 67 Convex and discrete geometry (52-XX) 65 \(K\)-theory (19-XX) 59 Functional analysis (46-XX) 52 Order, lattices, ordered algebraic structures (06-XX) 49 Global analysis, analysis on manifolds (58-XX) 42 Statistical mechanics, structure of matter (82-XX) 41 Dynamical systems and ergodic theory (37-XX) 31 Abstract harmonic analysis (43-XX) 20 General and overarching topics; collections (00-XX) 20 Functions of a complex variable (30-XX) 20 Partial differential equations (35-XX) 19 Computer science (68-XX) 16 Geometry (51-XX) 11 Relativity and gravitational theory (83-XX) 9 Probability theory and stochastic processes (60-XX) 9 Information and communication theory, circuits (94-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 History and biography (01-XX) 7 Field theory and polynomials (12-XX) 7 Ordinary differential equations (34-XX) 7 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 4 General algebraic systems (08-XX) 4 Numerical analysis (65-XX) 4 Mechanics of particles and systems (70-XX) 3 Mathematical logic and foundations (03-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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