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Author ID: lusztig.george Recent zbMATH articles by "Lusztig, George"
Published as: Lusztig, George; Lusztig, G.; Lustig, George; Lusztig, Gheorghe; Lustig, G.
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)
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Serials

49 Representation Theory
20 Advances in Mathematics
12 Journal of Algebra
12 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
11 Journal of the American Mathematical Society
10 Inventiones Mathematicae
6 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

Publications by Year

Citations contained in zbMATH Open

242 Publications have been cited 8,611 times in 4,175 Documents Cited by Year
Representations of Coxeter groups and Hecke algebras. Zbl 0499.20035
Kazhdan, David; Lusztig, George
725
1979
Introduction to quantum groups. Zbl 0788.17010
Lusztig, George
622
1993
Canonical bases arising from quantized enveloping algebras. Zbl 0703.17008
Lusztig, George
369
1990
Representations of reductive groups over finite fields. Zbl 0336.20029
Deligne, Pierre; Lusztig, G.
350
1976
Characters of reductive groups over a finite field. Zbl 0556.20033
Lusztig, George
300
1984
Affine Hecke algebras and their graded version. Zbl 0715.22020
Lusztig, George
223
1989
Quantum groups at roots of 1. Zbl 0714.17013
Lusztig, George
210
1990
Quantum deformations of certain simple modules over enveloping algebras. Zbl 0651.17007
Lusztig, George
208
1988
Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. Zbl 0695.16006
Lusztig, George
174
1990
Quivers, perverse sheaves, and quantized enveloping algebras. Zbl 0738.17011
Lusztig, George
174
1991
Proof of the Deligne-Langlands conjecture for Hecke algebras. Zbl 0613.22004
Kazhdan, David; Lusztig, George
160
1987
Total positivity in reductive groups. Zbl 0845.20034
Lusztig, G.
151
1994
Intersection cohomology complexes on a reductive group. Zbl 0547.20032
Lusztig, G.
138
1984
A geometric setting for the quantum deformation of \(\mathrm{GL}_n\). Zbl 0713.17012
Beilinson, A. A.; Lusztig, George; MacPherson, Robert
133
1990
Hecke algebras with unequal parameters. Zbl 1051.20003
Lusztig, George
132
2003
Irreducible representations of finite classical groups. Zbl 0372.20033
Lusztig, G.
119
1977
On the modular representations of the general linear and symmetric groups. Zbl 0298.20009
Carter, Roger W.; Lusztig, George
115
1974
Some examples of square integrable representations of semisimple \(p\)-adic groups. Zbl 0526.22015
Lusztig, George
111
1983
Singularities, character formulas, and a \(q\)-analog of weight multiplicities. Zbl 0561.22013
Lusztig, George
110
1983
Green polynomials and singularities of unipotent classes. Zbl 0473.20029
Lusztig, G.
110
1981
Tensor structures arising from affine Lie algebras. I, II. Zbl 0786.17017
Kazhdan, David; Lusztig, George
109
1993
Schubert varieties and Poincaré duality. Zbl 0461.14015
Kazhdan, David; Lusztig, George
102
1980
Induced unipotent classes. Zbl 0407.20035
Lusztig, G.; Spaltenstein, N.
96
1979
Cells in affine Weyl groups. II. Zbl 0625.20032
Lusztig, George
91
1987
Introduction to quantum groups. Reprint of the 1994 ed. Zbl 1246.17018
Lusztig, George
87
2010
Coxeter orbits and eigenspaces of Frobenius. Zbl 0366.20031
Lusztig, G.
86
1976
Hecke algebras and Jantzen’s generic decomposition patterns. Zbl 0448.20039
Lusztig, George
83
1980
Tensor structures arising from affine Lie algebras. IV. Zbl 0802.17008
Kazhdan, David; Lusztig, George
75
1994
Cuspidal local systems and graded Hecke algebras. I. Zbl 0699.22026
Lusztig, George
70
1988
Tensor structures arising from affine Lie algebras. III. Zbl 0802.17007
Kazhdan, David; Lusztig, George
69
1994
Canonical bases arising from quantized enveloping algebras. II. Zbl 0776.17012
Lusztig, George
67
1990
On the finiteness of the number of unipotent classes. Zbl 0371.20039
Lusztig, G.
64
1976
Singularities of closures of K-orbits on flag manifolds. Zbl 0544.14035
Lusztig, George; Vogan, David A. jun.
63
1983
Character sheaves. V. Zbl 0602.20036
Lusztig, George
63
1986
Total positivity in partial flag manifolds. Zbl 0895.14014
Lusztig, G.
61
1998
Character sheaves. I. Zbl 0586.20018
Lusztig, George
59
1985
A class of irreducible representations of a Weyl group. Zbl 0435.20021
Lusztig, G.
58
1979
Fixed point varieties on affine flag manifolds. Zbl 0658.22005
Kazhdan, David; Lusztig, George
57
1988
Homology of the zero-set of a nilpotent vector field on a flag manifold. Zbl 0646.14034
de Concini, C.; Lusztig, George; Procesi, C.
54
1988
On a theorem of Benson and Curtis. Zbl 0465.20042
Lusztig, George
51
1981
Classification of unipotent representations of simple \(p\)-adic groups. Zbl 0872.20041
Lusztig, George
49
1995
A topological approach to Springer’s representations. Zbl 0458.20035
Kazhdan, David; Lusztig, George
48
1980
Cells in affine Weyl groups. IV. Zbl 0688.20020
Lusztig, George
47
1989
Green functions and character sheaves. Zbl 0695.20024
Lusztig, George
45
1990
Affine Lie algebras and quantum groups. Zbl 0726.17015
Kazhdan, David; Lusztig, George
43
1991
The characters of the finite unitary groups. Zbl 0384.20008
Lusztig, George; Srinivasan, Bhama
43
1977
Canonical bases in tensor products. Zbl 0760.17011
Lusztig, George
42
1992
Cuspidal local systems and graded Hecke algebras. II. Zbl 0841.22013
Lusztig, George
42
1995
Semicanonical bases arising from enveloping algebras. Zbl 0983.17009
Lusztig, G.
41
2000
A unipotent support for irreducible representations. Zbl 0789.20042
Lusztig, George
39
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
39
1978
Left cells in Weyl groups. Zbl 0537.20019
Lusztig, G.
37
1983
Affine quivers and canonical bases. Zbl 0776.17013
Lusztig, George
36
1992
Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\). Zbl 0983.17011
Lusztig, G.
34
1999
On bases of irreducible representations of quantum \(\text{GL}_ n\). Zbl 0815.20029
Grojnowski, I.; Lusztig, George
33
1992
Some numerical results on the characters of exceptional Weyl groups. Zbl 0416.20033
Beynon, W. M.; Lusztig, G.
33
1978
Unipotent characters of the symplectic and odd orthogonal groups over a finite field. Zbl 0477.20023
Lusztig, George
33
1981
A comparison of bases of quantized enveloping algebras. Zbl 1009.17502
Grojnowski, I.; Lusztig, G.
31
1993
From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045
Lusztig, G.
31
2011
On quiver varieties. Zbl 0915.17008
Lusztig, G.
31
1998
Character sheaves. II. Zbl 0586.20019
Lusztig, George
30
1985
Erratum to: Character sheaves. V. Zbl 0606.20036
Lusztig, George
30
1986
On quantum groups. Zbl 0698.16007
Lusztig, George
29
1990
Braid group action and canonical bases. Zbl 0861.17008
Lusztig, George
28
1996
Introduction to total positivity. Zbl 0929.20035
Lusztig, George
28
1998
Tight monomials in quantized enveloping algebras. Zbl 0948.17501
Lusztig, G.
27
1993
Novikov’s higher signature and families of elliptic operators. Zbl 0265.57009
Lusztig, Gheorghe
27
1972
Monodromic systems on affine flag manifolds. Zbl 0829.17018
Lusztig, George
26
1994
Notes on unipotent classes. Zbl 0929.20034
Lusztig, G.
26
1997
Modular representations of finite groups of Lie type. Zbl 0338.20013
Carter, R. W.; Lusztig, G.
26
1976
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
25
2002
Hecke algebras and involutions in Weyl groups. Zbl 1288.20006
Lusztig, George; Vogan, David A. jun.
25
2012
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
23
2004
Bases in equivariant \(K\)-theory. Zbl 0901.20034
Lusztig, G.
23
1998
Homology bases arising from reductive groups over a finite field. Zbl 0930.20041
Lusztig, G.
23
1998
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
22
2002
The representations and generic degrees of the Hecke algebra of type \(H_ 4\). Zbl 0488.20034
Alvis, Dean; Lusztig, George
22
1982
Canonical left cells in affine Weyl groups. Zbl 0664.20028
Lusztig, George; Xi, Nanhua
22
1988
Modular representations and quantum groups. Zbl 0665.20022
Lusztig, George
22
1989
On the character values of finite Chevalley groups at unipotent elements. Zbl 0603.20037
Lusztig, George
22
1986
Cells in affine Weyl groups. III. Zbl 0631.20028
Lusztig, George
22
1987
Semi-characteristics and cobordism. Zbl 0165.26302
Lusztig, G.; Peterson, F. P.; Milnor, John W.
22
1969
Canonical bases and Hall algebras. Zbl 0934.17010
Lusztig, George
22
1998
Cells in affine Weyl groups and tensor categories. Zbl 0884.20026
Lusztig, G.
21
1997
Equivariant K-theory and representations of Hecke algebras. Zbl 0571.22014
Lusztig, George
21
1985
Leading coefficients of character values of Hecke algebras. Zbl 0657.20037
Lusztig, George
21
1987
Symmetric spaces over a finite field. Zbl 0773.20012
Lusztig, George
21
1990
Rationality properties of unipotent representations. Zbl 1141.20300
Lusztig, G.
20
2002
Character sheaves. III. Zbl 0594.20031
Lusztig, George
20
1985
A bar operator for involutions in a Coxeter group. Zbl 1283.20045
Lusztig, George
20
2012
Bases in equivariant \(K\)-theory. II. Zbl 0999.20036
Lusztig, G.
19
1999
Some problems in the representation theory of finite Chevalley groups. Zbl 0453.20005
Lusztig, George
19
1980
A class of irreducible representations of a Weyl group. II. Zbl 0511.20034
Lusztig, George
19
1982
Character sheaves. IV. Zbl 0602.20035
Lusztig, George
19
1986
Cells in affine Weyl groups. Zbl 0569.20032
Lusztig, George
18
1985
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
17
2004
Parabolic character sheaves. I. Zbl 1102.20030
Lusztig, George
17
2004
Intersection cohomology methods in representation theory. Zbl 0749.14010
Lusztig, George
17
1991
Unipotent representations of a finite Chevalley group of type \(E_8\). Zbl 0418.20038
Lusztig, George
17
1979
On the generalized Springer correspondence for classical groups. Zbl 0579.20035
Lusztig, G.; Spaltenstein, N.
17
1985
Strata of a disconnected reductive group. Zbl 1471.20029
Lusztig, G.
1
2021
Endoscopy for Hecke categories, character sheaves and representations. Zbl 1484.20084
Lusztig, George; Yun, Zhiwei
3
2020
The Grothendieck group of unipotent representations: a new basis. Zbl 07226609
Lusztig, G.
1
2020
Positive structures in Lie theory. Zbl 1481.22012
Lusztig, G.
1
2020
Total positivity in reductive groups. II. Zbl 07172106
Lusztig, G.
4
2019
Conjugacy classes in reductive groups and two-sided cells. Zbl 1472.20107
Lusztig, G.
2
2019
On the generalized Springer correspondence. Zbl 1481.20179
Lusztig, G.
2
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
On the character of certain tilting modules. Zbl 1392.20039
Lusztig, George; Williamson, Geordie
6
2018
Billiards and tilting characters for \(\mathrm{SL}_3\). Zbl 1447.20007
Lusztig, George; Williamson, Geordie
5
2018
On the definition of almost characters. Zbl 1455.20031
Lusztig, G.
3
2018
Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045
Lusztig, G.
2
2018
Hecke modules based on involutions in extended Weyl groups. Zbl 07007116
Lusztig, G.
2
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
1
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
6
2017
The canonical basis of the quantum adjoint representation. Zbl 1422.17019
Lusztig, George
5
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. II. Zbl 1419.17036
Lusztig, George; Yun, Zhiwei
2
2017
Non-unipotent representations and categorical centers. Zbl 1483.20080
Lusztig, George
2
2017
Generic character sheaves on groups over \(\mathbf k[\epsilon]/(\epsilon^r)\). Zbl 1405.20040
Lusztig, G.
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.
6
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
8
2015
Restriction of a character sheaf to conjugacy classes. Zbl 1399.20051
Lusztig, G.
6
2015
Truncated convolution of character sheaves. Zbl 1360.20042
Lusztig, George
6
2015
Unipotent representations as a categorical centre. Zbl 1360.20041
Lusztig, G.
5
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.
3
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.
7
2014
Quasisplit Hecke algebras and symmetric spaces. Zbl 1300.20006
Lusztig, George; Vogan, David A. jun.
4
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
A \((-q)\)-analogue of weight multiplicities. Zbl 1295.20046
Lusztig, George; Yun, Zhiwei
2
2013
On the Steinberg character of a semisimple \(p\)-adic group. Zbl 1291.22018
Kim, Ju-Lee; Lusztig, George
2
2013
Hecke algebras and involutions in Weyl groups. Zbl 1288.20006
Lusztig, George; Vogan, David A. jun.
25
2012
A bar operator for involutions in a Coxeter group. Zbl 1283.20045
Lusztig, George
20
2012
A generalization of Steinberg’s cross section. Zbl 1252.20047
He, Xuhua; Lusztig, George
11
2012
On the cleanness of cuspidal character sheaves. Zbl 1263.20044
Lusztig, G.
10
2012
From conjugacy classes in the Weyl group to unipotent classes. II. Zbl 1264.20043
Lusztig, G.
9
2012
From conjugacy classes in the Weyl group to unipotent classes. III. Zbl 1307.20040
Lusztig, G.
4
2012
Elliptic elements in a Weyl group: a homogeneity property. Zbl 1282.20054
Lusztig, G.
4
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.
31
2011
Unipotent elements in small characteristic. III. (With an appendix with T. Xue). Zbl 1243.20061
Lusztig, G.
9
2011
On certain varieties attached to a Weyl group element. Zbl 1288.20059
Lusztig, G.
9
2011
Piecewise linear parametrization of canonical bases. Zbl 1255.17009
Lusztig, G.
9
2011
On \(C\)-small conjugacy classes in a reductive group. Zbl 1238.20062
Lusztig, G.
7
2011
On some partitions of a flag manifold. Zbl 1220.20042
Lusztig, George
2
2011
Study of antiorbital complexes. Zbl 1257.20047
Lusztig, G.
1
2011
Introduction to quantum groups. Reprint of the 1994 ed. Zbl 1246.17018
Lusztig, George
87
2010
Unipotent elements in small characteristic. IV. Zbl 1247.20050
Lusztig, G.
6
2010
Graded Lie algebras and intersection cohomology. Zbl 1231.20044
Lusztig, G.
5
2010
Parabolic character sheaves. III. Zbl 1229.20041
Lusztig, G.
3
2010
Unipotent classes and special Weyl group representations. Zbl 1234.20055
Lusztig, G.
15
2009
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. Zbl 1160.20037
Kumar, Shrawan; Lusztig, George; Prasad, Dipendra
11
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.
5
2009
Twelve bridges from a reductive group to its Langlands dual. Zbl 1169.20025
Lusztig, G.
3
2009
Character sheaves on disconnected groups. X. Zbl 1233.20041
Lusztig, G.
3
2009
A survey of total positivity. Zbl 1176.15045
Lusztig, G.
10
2008
Unipotent elements in small characteristic. II. Zbl 1196.20056
Lusztig, G.
9
2008
Irreducible representations of finite spin groups. Zbl 1152.20040
Lusztig, G.
4
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.
11
2006
Character sheaves on disconnected groups. VIII. Zbl 1160.20038
Lusztig, G.
1
2006
Character sheaves on disconnected groups. IX. Zbl 1161.20039
Lusztig, G.
1
2006
Unipotent elements in small characteristic. Zbl 1107.20036
Lusztig, G.
14
2005
Character sheaves on disconnected groups. VII. Zbl 1078.20047
Lusztig, G.
12
2005
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
23
2004
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
17
2004
Parabolic character sheaves. I. Zbl 1102.20030
Lusztig, George
17
2004
Parabolic character sheaves. II. Zbl 1103.20041
Lusztig, G.
14
2004
Character sheaves on disconnected groups. IV. Zbl 1075.20013
Lusztig, G.
8
2004
An induction theorem for Springer’s representations. Zbl 1138.20311
Lusztig, G.
8
2004
Character sheaves on disconnected groups. II. Zbl 1073.20036
Lusztig, G.
7
2004
Character sheaves on disconnected groups. VI. Zbl 1077.20058
Lusztig, G.
4
2004
Character sheaves on disconnected groups. III. Zbl 1074.20031
Lusztig, G.
3
2004
Character sheaves on disconnected groups. V. Zbl 1076.20031
Lusztig, G.
2
2004
Convolution of almost characters. Zbl 1072.20053
Lusztig, G.
1
2004
Hecke algebras with unequal parameters. Zbl 1051.20003
Lusztig, George
132
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
Current developments in mathematics, 2003. Zbl 1090.00008
1
2003
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
25
2002
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
22
2002
Rationality properties of unipotent representations. Zbl 1141.20300
Lusztig, G.
20
2002
Notes on affine Hecke algebras. Zbl 1051.20004
Lusztig, George
3
2002
Representation theory in characteristic \(p\). Zbl 0998.17005
Lusztig, George
2
2001
Semicanonical bases arising from enveloping algebras. Zbl 0983.17009
Lusztig, G.
41
2000
Quiver varieties and Weyl group actions. Zbl 0958.20036
Lusztig, George
15
2000
...and 142 more Documents
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Cited by 2,515 Authors

127 Lusztig, George
44 Geck, Meinolf
33 Du, Jie
33 He, Xuhua
29 Malle, Gunter
28 Shi, Jianyi
28 Shoji, Toshiaki
27 Kashiwara, Masaki
27 Kazhdan, David A.
24 Brenti, Francesco
24 Ciubotaru, Dan
24 Hu, Jun
24 Stroppel, Catharina H.
24 Wang, Weiqiang
23 Andersen, Henning Haahr
23 Kang, Seok-Jin
23 Mazorchuk, Volodymyr
22 Achar, Pramod N.
22 Bonnafé, Cédric
22 Yakimov, Milen T.
21 Tiep Pham Huu
21 Vasserot, Eric
21 Williams, Lauren K.
21 Williamson, Geordie
20 Aubert, Anne-Marie
20 Bezrukavnikov, Roman
20 Joseph, Anthony
19 Brundan, Jonathan
19 Li, Yiqiang
19 Solleveld, Maarten
19 Xi, Nanhua
18 Andruskiewitsch, Nicolás
18 Dudas, Olivier
18 Henderson, Anthony
18 Scott, Leonard L.
17 Chari, Vyjayanthi
17 Doty, Stephen R.
17 Etingof, Pavel Il’ich
17 Finkelberg, Michael Vladlenovich
17 Lam, Thomas F.
17 Leclerc, Bernard
17 Parshall, Brian J.
17 Rouquier, Raphaël
16 Fu, Qiang
16 Green, Richard M.
16 Lauda, Aaron D.
16 Lehrer, Gustav Isaac
16 Michel, Jean
16 Opdam, Eric Marcus
16 Riche, Simon
16 Yun, Zhiwei
15 Barbasch, Dan M.
15 Deng, Bangming
15 Rietsch, Konstanze
15 Varagnolo, Michela
15 Xiao, Jie
14 Ginzburg, Victor
14 Jing, Naihuan
14 Khovanov, Mikhail G.
14 Kwon, Jae-Hoon
14 Vinroot, C. Ryan
14 Zelevinskiĭ, Andreĭ V.
13 Cherednik, Ivan V.
13 Cox, Ben Lewis
13 Creutzig, Thomas
13 Feĭgin, Boris L’vovich
13 Marietti, Mario
13 Marsh, Bethany Rose
13 Misra, Kailash C.
13 Ostrik, Victor Valentinovich
13 Reineke, Markus
13 Srinivasan, Bhama
13 Tanisaki, Toshiyuki
13 Terwilliger, Paul M.
13 Tingley, Peter W.
13 Tubbenhauer, Daniel
13 Webster, Ben
13 Zhang, Ruibin
12 Collingwood, David H.
12 Futorny, Vyacheslav M.
12 Helminck, Aloysius G.
12 Kleshchev, Alexander S.
12 Marberg, Eric
12 Naito, Satoshi
12 Reeder, Mark
12 Skandera, Mark
12 Sommers, Eric N.
12 Taylor, Jay
12 Yamane, Hiroyuki
11 Berenstein, Arkady
11 Caselli, Fabrizio
11 Digne, François
11 Elias, Benjamin
11 Gaitsgory, Dennis
11 Geiss, Christof
11 Haines, Thomas J.
11 Kamnitzer, Joel
11 Kaneda, Masaharu
11 Kato, Syu
11 Pylyavskyy, Pavlo
...and 2,415 more Authors
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Cited in 232 Serials

667 Journal of Algebra
332 Advances in Mathematics
229 Representation Theory
154 Communications in Algebra
141 Transactions of the American Mathematical Society
123 Journal of Pure and Applied Algebra
122 Duke Mathematical Journal
120 Communications in Mathematical Physics
113 Inventiones Mathematicae
106 Transformation Groups
102 Mathematische Zeitschrift
101 Selecta Mathematica. New Series
77 Journal of Algebraic Combinatorics
71 Compositio Mathematica
71 Algebras and Representation Theory
55 Journal of the American Mathematical Society
53 Mathematische Annalen
52 Journal of Mathematical Physics
51 Proceedings of the American Mathematical Society
45 Journal of Combinatorial Theory. Series A
40 Letters in Mathematical Physics
35 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
34 Israel Journal of Mathematics
32 Indagationes Mathematicae. New Series
29 Publications of the Research Institute for Mathematical Sciences, Kyoto University
27 Annales de l’Institut Fourier
27 Manuscripta Mathematica
27 Annals of Mathematics. Second Series
27 Journal of Algebra and its Applications
26 Nagoya Mathematical Journal
26 Journal of the Institute of Mathematics of Jussieu
25 Journal für die Reine und Angewandte Mathematik
24 Bulletin of the American Mathematical Society. New Series
23 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
20 Science China. Mathematics
19 Journal of High Energy Physics
18 European Journal of Combinatorics
18 Séminaire Lotharingien de Combinatoire
17 Publications Mathématiques
17 Memoirs of the American Mathematical Society
16 Journal of the European Mathematical Society (JEMS)
15 Journal of Geometry and Physics
15 Advances in Applied Mathematics
15 Communications in Contemporary Mathematics
14 Nuclear Physics. B
14 Functional Analysis and its Applications
14 Algebraic & Geometric Topology
13 Archiv der Mathematik
13 Proceedings of the Japan Academy. Series A
13 The Electronic Journal of Combinatorics
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
12 Annals of Combinatorics
12 Algebraic Combinatorics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 International Journal of Mathematics
11 Journal of Group Theory
11 Forum of Mathematics, Sigma
10 Discrete Mathematics
10 Journal of Functional Analysis
10 Journal of Number Theory
10 Tôhoku Mathematical Journal. Second Series
10 Acta Applicandae Mathematicae
10 Linear Algebra and its Applications
10 Experimental Mathematics
9 Osaka Journal of Mathematics
9 Algebra Colloquium
9 Journal of Lie Theory
8 Glasgow Mathematical Journal
8 Michigan Mathematical Journal
8 International Journal of Algebra and Computation
8 Journal of Knot Theory and its Ramifications
8 Acta Mathematica Sinica. English Series
8 Quantum Topology
7 Bulletin de la Société Mathématique de France
7 Tokyo Journal of Mathematics
7 Journal of Symbolic Computation
7 Journal of Mathematical Sciences (New York)
7 Finite Fields and their Applications
7 Documenta Mathematica
7 Frontiers of Mathematics in China
7 Algebra & Number Theory
7 Forum of Mathematics, Pi
6 Acta Mathematica
6 Acta Mathematica Vietnamica
6 Journal of Soviet Mathematics
6 Pacific Journal of Mathematics
6 Proceedings of the London Mathematical Society. Third Series
6 Applicable Algebra in Engineering, Communication and Computing
6 Journal of Algebraic Geometry
6 Japanese Journal of Mathematics. 3rd Series
6 Kyoto Journal of Mathematics
5 Bulletin of the Australian Mathematical Society
5 Theoretical and Mathematical Physics
5 Canadian Journal of Mathematics
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Forum Mathematicum
5 IMRN. International Mathematics Research Notices
5 Geometric and Functional Analysis. GAFA
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 132 more Serials
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Cited in 50 Fields

2,064 Group theory and generalizations (20-XX)
1,723 Nonassociative rings and algebras (17-XX)
888 Algebraic geometry (14-XX)
764 Associative rings and algebras (16-XX)
615 Combinatorics (05-XX)
581 Topological groups, Lie groups (22-XX)
371 Quantum theory (81-XX)
274 Number theory (11-XX)
224 Category theory; homological algebra (18-XX)
156 Manifolds and cell complexes (57-XX)
112 Commutative algebra (13-XX)
81 Special functions (33-XX)
72 Differential geometry (53-XX)
70 Several complex variables and analytic spaces (32-XX)
70 Algebraic topology (55-XX)
67 Linear and multilinear algebra; matrix theory (15-XX)
61 \(K\)-theory (19-XX)
55 Convex and discrete geometry (52-XX)
49 Functional analysis (46-XX)
48 Global analysis, analysis on manifolds (58-XX)
42 Order, lattices, ordered algebraic structures (06-XX)
38 Statistical mechanics, structure of matter (82-XX)
32 Dynamical systems and ergodic theory (37-XX)
28 Abstract harmonic analysis (43-XX)
19 Partial differential equations (35-XX)
19 Computer science (68-XX)
15 Geometry (51-XX)
14 Functions of a complex variable (30-XX)
11 Relativity and gravitational theory (83-XX)
8 General and overarching topics; collections (00-XX)
8 Probability theory and stochastic processes (60-XX)
8 Information and communication theory, circuits (94-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Difference and functional equations (39-XX)
5 History and biography (01-XX)
5 Field theory and polynomials (12-XX)
5 Ordinary differential equations (34-XX)
4 Numerical analysis (65-XX)
3 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

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