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Lusztig, George

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Author ID: lusztig.george Recent zbMATH articles by "Lusztig, George"
Published as: Lustig, G.; Lustig, George; Lusztig, G.; Lusztig, George; Lusztig, Gheorghe
External Links: MGP · Wikidata · GND
Awards: Shaw Prize (2014)
Documents Indexed: 265 Publications since 1965, including 13 Books
Biographic References: 1 Publication
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Serials

46 Representation Theory
20 Advances in Mathematics
12 Journal of Algebra
11 Journal of the American Mathematical Society
10 Inventiones Mathematicae
10 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
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 şi Cercetări Matematice
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Analele Universităţii din Timişoara. Ştiinţe 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 IMRN. International Mathematics Research Notices
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 Annals of Mathematics. Second Series
2 Annals of Mathematics Studies
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 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Selecta Mathematica. New Series
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 Forum of Mathematics, Pi
1 ICCM Notices
1 Journal of Combinatorial Algebra
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

232 Publications have been cited 8,164 times in 3,868 Documents Cited by Year
Representations of Coxeter groups and Hecke algebras. Zbl 0499.20035
Kazhdan, David; Lusztig, George
693
1979
Introduction to quantum groups. Zbl 0788.17010
Lusztig, George
619
1993
Representations of reductive groups over finite fields. Zbl 0336.20029
Deligne, Pierre; Lusztig, G.
322
1976
Canonical bases arising from quantized enveloping algebras. Zbl 0703.17008
Lusztig, George
318
1990
Characters of reductive groups over a finite field. Zbl 0556.20033
Lusztig, George
304
1984
Quantum deformations of certain simple modules over enveloping algebras. Zbl 0651.17007
Lusztig, George
202
1988
Affine Hecke algebras and their graded version. Zbl 0715.22020
Lusztig, George
201
1989
Quantum groups at roots of 1. Zbl 0714.17013
Lusztig, George
194
1990
Quivers, perverse sheaves, and quantized enveloping algebras. Zbl 0738.17011
Lusztig, George
164
1991
Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. Zbl 0695.16006
Lusztig, George
164
1990
Proof of the Deligne-Langlands conjecture for Hecke algebras. Zbl 0613.22004
Kazhdan, David; Lusztig, George
148
1987
Total positivity in reductive groups. Zbl 0845.20034
Lusztig, G.
131
1994
Hecke algebras with unequal parameters. Zbl 1051.20003
Lusztig, George
126
2003
Schubert varieties and Poincaré duality. Zbl 0461.14015
Kazhdan, David; Lusztig, George
126
1980
Intersection cohomology complexes on a reductive group. Zbl 0547.20032
Lusztig, G.
118
1984
A geometric setting for the quantum deformation of \(\mathrm{GL}_n\). Zbl 0713.17012
Beilinson, A. A.; Lusztig, George; MacPherson, Robert
115
1990
Irreducible representations of finite classical groups. Zbl 0372.20033
Lusztig, G.
113
1977
Singularities, character formulas, and a \(q\)-analog of weight multiplicities. Zbl 0561.22013
Lusztig, George
111
1983
On the modular representations of the general linear and symmetric groups. Zbl 0298.20009
Carter, Roger W.; Lusztig, George
107
1974
Some examples of square integrable representations of semisimple \(p\)-adic groups. Zbl 0526.22015
Lusztig, George
104
1983
Tensor structures arising from affine Lie algebras. I, II. Zbl 0786.17017
Kazhdan, David; Lusztig, George
99
1993
Green polynomials and singularities of unipotent classes. Zbl 0473.20029
Lusztig, G.
97
1981
Induced unipotent classes. Zbl 0407.20035
Lusztig, G.; Spaltenstein, N.
87
1979
Cells in affine Weyl groups. II. Zbl 0625.20032
Lusztig, George
84
1987
Coxeter orbits and eigenspaces of Frobenius. Zbl 0366.20031
Lusztig, G.
77
1976
Hecke algebras and Jantzen’s generic decomposition patterns. Zbl 0448.20039
Lusztig, George
75
1980
Introduction to quantum groups. Reprint of the 1994 ed. Zbl 1246.17018
Lusztig, George
70
2010
Tensor structures arising from affine Lie algebras. IV. Zbl 0802.17008
Kazhdan, David; Lusztig, George
63
1994
Singularities of closures of K-orbits on flag manifolds. Zbl 0544.14035
Lusztig, George; Vogan, David A. jun.
62
1983
On the finiteness of the number of unipotent classes. Zbl 0371.20039
Lusztig, G.
61
1976
Canonical bases arising from quantized enveloping algebras. II. Zbl 0776.17012
Lusztig, George
60
1990
Cuspidal local systems and graded Hecke algebras. I. Zbl 0699.22026
Lusztig, George
59
1988
Tensor structures arising from affine Lie algebras. III. Zbl 0802.17007
Kazhdan, David; Lusztig, George
58
1994
Character sheaves. I. Zbl 0586.20018
Lusztig, George
57
1985
Character sheaves. V. Zbl 0602.20036
Lusztig, George
55
1986
Total positivity in partial flag manifolds. Zbl 0895.14014
Lusztig, G.
54
1998
A class of irreducible representations of a Weyl group. Zbl 0435.20021
Lusztig, G.
54
1979
Fixed point varieties on affine flag manifolds. Zbl 0658.22005
Kazhdan, David; Lusztig, George
50
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.
50
1988
On a theorem of Benson and Curtis. Zbl 0465.20042
Lusztig, George
50
1981
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
50
1978
A topological approach to Springer’s representations. Zbl 0458.20035
Kazhdan, David; Lusztig, George
47
1980
Classification of unipotent representations of simple \(p\)-adic groups. Zbl 0872.20041
Lusztig, George
45
1995
Cells in affine Weyl groups. IV. Zbl 0688.20020
Lusztig, George
44
1989
Modular representations and quantum groups. Zbl 0665.20022
Lusztig, George
44
1989
Cells in affine Weyl groups. Zbl 0569.20032
Lusztig, George
43
1985
The characters of the finite unitary groups. Zbl 0384.20008
Lusztig, George; Srinivasan, Bhama
42
1977
Canonical bases in tensor products. Zbl 0760.17011
Lusztig, George
41
1992
Left cells in Weyl groups. Zbl 0537.20019
Lusztig, G.
40
1983
Cuspidal local systems and graded Hecke algebras. II. Zbl 0841.22013
Lusztig, George
39
1995
Green functions and character sheaves. Zbl 0695.20024
Lusztig, George
39
1990
Affine Lie algebras and quantum groups. Zbl 0726.17015
Kazhdan, David; Lusztig, George
38
1991
Leading coefficients of character values of Hecke algebras. Zbl 0657.20037
Lusztig, George
38
1987
Semicanonical bases arising from enveloping algebras. Zbl 0983.17009
Lusztig, G.
37
2000
On bases of irreducible representations of quantum \(\text{GL}_ n\). Zbl 0815.20029
Grojnowski, I.; Lusztig, George
36
1992
A unipotent support for irreducible representations. Zbl 0789.20042
Lusztig, George
35
1992
Affine quivers and canonical bases. Zbl 0776.17013
Lusztig, George
34
1992
Some problems in the representation theory of finite Chevalley groups. Zbl 0453.20005
Lusztig, George
34
1980
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
32
1981
On quantum groups. Zbl 0698.16007
Lusztig, George
31
1990
Erratum to: Character sheaves. V. Zbl 0606.20036
Lusztig, George
31
1986
From conjugacy classes in the Weyl group to unipotent classes. Zbl 1263.20045
Lusztig, G.
29
2011
Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\). Zbl 0983.17011
Lusztig, G.
29
1999
On quiver varieties. Zbl 0915.17008
Lusztig, G.
29
1998
Character sheaves. II. Zbl 0586.20019
Lusztig, George
28
1985
Braid group action and canonical bases. Zbl 0861.17008
Lusztig, George
27
1996
Introduction to total positivity. Zbl 0929.20035
Lusztig, George
26
1998
Tight monomials in quantized enveloping algebras. Zbl 0948.17501
Lusztig, G.
25
1993
A comparison of bases of quantized enveloping algebras. Zbl 1009.17502
Grojnowski, I.; Lusztig, G.
25
1993
Modular representations of finite groups of Lie type. Zbl 0338.20013
Carter, R. W.; Lusztig, G.
25
1976
Hecke algebras and involutions in Weyl groups. Zbl 1288.20006
Lusztig, George; Vogan, David A. jun.
24
2012
Notes on unipotent classes. Zbl 0929.20034
Lusztig, G.
24
1997
Novikov’s higher signature and families of elliptic operators. Zbl 0265.57009
Lusztig, Gheorghe
24
1972
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
23
2002
Homology bases arising from reductive groups over a finite field. Zbl 0930.20041
Lusztig, G.
23
1998
The representations and generic degrees of the Hecke algebra of type \(H_ 4\). Zbl 0488.20034
Alvis, Dean; Lusztig, George
23
1982
Bases in equivariant \(K\)-theory. Zbl 0901.20034
Lusztig, G.
22
1998
Monodromic systems on affine flag manifolds. Zbl 0829.17018
Lusztig, George
22
1994
Canonical left cells in affine Weyl groups. Zbl 0664.20028
Lusztig, George; Xi, Nanhua
22
1988
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
21
1998
Cells in affine Weyl groups and tensor categories. Zbl 0884.20026
Lusztig, G.
21
1997
On the character values of finite Chevalley groups at unipotent elements. Zbl 0603.20037
Lusztig, George
21
1986
Representations of reductive groups over finite rings. Zbl 1085.20029
Lusztig, G.
20
2004
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
20
2002
Symmetric spaces over a finite field. Zbl 0773.20012
Lusztig, George
20
1990
Cells in affine Weyl groups. III. Zbl 0631.20028
Lusztig, George
20
1987
A bar operator for involutions in a Coxeter group. Zbl 1283.20045
Lusztig, George
19
2012
On the representations of reductive groups with disconnected centre. Zbl 0703.20036
Lusztig, George
19
1988
Character sheaves. III. Zbl 0594.20031
Lusztig, George
19
1985
A class of irreducible representations of a Weyl group. II. Zbl 0511.20034
Lusztig, George
19
1982
Parabolic character sheaves. I. Zbl 1102.20030
Lusztig, George
18
2004
Bases in equivariant \(K\)-theory. II. Zbl 0999.20036
Lusztig, G.
18
1999
On the generalized Springer correspondence for classical groups. Zbl 0579.20035
Lusztig, G.; Spaltenstein, N.
18
1985
Equivariant K-theory and representations of Hecke algebras. Zbl 0571.22014
Lusztig, George
18
1985
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
17
2004
Intersection cohomology methods in representation theory. Zbl 0749.14010
Lusztig, George
17
1991
Character sheaves. IV. Zbl 0602.20035
Lusztig, George
17
1986
Unipotent representations of a finite Chevalley group of type \(E_8\). Zbl 0418.20038
Lusztig, George
17
1979
The Grothendieck group of unipotent representations: a new basis. Zbl 07226609
Lusztig, G.
1
2020
Total positivity in reductive groups. II. Zbl 07172106
Lusztig, G.
2
2019
Conjugacy classes in reductive groups and two-sided cells. Zbl 07212221
Lusztig, G.
1
2019
A new basis for the representation ring of a Weyl group. Zbl 07137069
Lusztig, G.
1
2019
Billiards and tilting characters for \(\mathrm{SL}_3\). Zbl 1447.20007
Lusztig, George; Williamson, Geordie
5
2018
On the character of certain tilting modules. Zbl 1392.20039
Lusztig, George; Williamson, Geordie
5
2018
On the definition of almost characters. Zbl 1455.20031
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
Lifting involutions in a Weyl group to the torus normalizer. Zbl 1452.20045
Lusztig, G.
1
2018
The canonical basis of the quantum adjoint representation. Zbl 1422.17019
Lusztig, George
5
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. I. Zbl 1419.17035
Lusztig, George; Yun, Zhiwei
4
2017
Non-unipotent representations and categorical centers. Zbl 06806689
Lusztig, George
2
2017
\(\mathbb Z/m\)-graded Lie algebras and perverse sheaves. II. Zbl 1419.17036
Lusztig, George; Yun, Zhiwei
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 06681600
Lusztig, George
1
2016
Restriction of a character sheaf to conjugacy classes. Zbl 1399.20051
Lusztig, G.
5
2015
On conjugacy classes in a reductive group. Zbl 1343.20050
Lusztig, George
5
2015
Unipotent representations as a categorical centre. Zbl 1360.20041
Lusztig, G.
5
2015
On the character of certain irreducible modular representations. Zbl 1316.20049
Lusztig, G.
5
2015
Truncated convolution of character sheaves. Zbl 1360.20042
Lusztig, George
4
2015
Hecke algebras and involutions in Coxeter groups. Zbl 1343.20008
Lusztig, George; Vogan, David A. jun.
3
2015
Unipotent almost characters of simple \(p\)-adic groups. Zbl 1323.22007
Lusztig, G.
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.
6
2014
Quasisplit Hecke algebras and symmetric spaces. Zbl 1300.20006
Lusztig, George; Vogan, David A. jun.
4
2014
Distinguished conjugacy classes and elliptic Weyl group elements. Zbl 1303.20052
Lusztig, G.
3
2014
Families and Springer’s correspondence. Zbl 1301.20035
Lusztig, George
3
2014
Unipotent almost characters of simple \(p\)-adic groups: II. Zbl 1300.22011
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
1
2013
Hecke algebras and involutions in Weyl groups. Zbl 1288.20006
Lusztig, George; Vogan, David A. jun.
24
2012
A bar operator for involutions in a Coxeter group. Zbl 1283.20045
Lusztig, George
19
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.
7
2012
From conjugacy classes in the Weyl group to unipotent classes. II. Zbl 1264.20043
Lusztig, G.
7
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.
29
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.
7
2011
Unipotent elements in small characteristic. III. (With an appendix with T. Xue). Zbl 1243.20061
Lusztig, G.
7
2011
On \(C\)-small conjugacy classes in a reductive group. Zbl 1238.20062
Lusztig, G.
6
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
70
2010
Graded Lie algebras and intersection cohomology. Zbl 1231.20044
Lusztig, G.
5
2010
Unipotent elements in small characteristic. IV. Zbl 1247.20050
Lusztig, G.
4
2010
Parabolic character sheaves. III. Zbl 1229.20041
Lusztig, G.
2
2010
Unipotent classes and special Weyl group representations. Zbl 1234.20055
Lusztig, G.
13
2009
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. Zbl 1160.20037
Kumar, Shrawan; Lusztig, George; Prasad, Dipendra
10
2009
Study of a \(\mathbb{Z}\)-form of the coordinate ring of a reductive group. Zbl 1236.20051
Lusztig, G.
6
2009
Remarks on Springer’s representations. Zbl 1250.17008
Lusztig, G.
5
2009
Character sheaves on disconnected groups. X. Zbl 1233.20041
Lusztig, G.
3
2009
Twelve bridges from a reductive group to its Langlands dual. Zbl 1169.20025
Lusztig, G.
3
2009
A survey of total positivity. Zbl 1176.15045
Lusztig, G.
8
2008
Unipotent elements in small characteristic. II. Zbl 1196.20056
Lusztig, G.
8
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.
2
2007
Character sheaves and generalizations. Zbl 1105.20042
Lusztig, G.
11
2006
Character sheaves on disconnected groups. IX. Zbl 1161.20039
Lusztig, G.
1
2006
Character sheaves on disconnected groups. VIII. Zbl 1160.20038
Lusztig, G.
1
2006
Unipotent elements in small characteristic. Zbl 1107.20036
Lusztig, G.
13
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.
20
2004
Parabolic character sheaves. I. Zbl 1102.20030
Lusztig, George
18
2004
Character sheaves on disconnected groups. I. Zbl 1072.20052
Lusztig, G.
17
2004
Parabolic character sheaves. II. Zbl 1103.20041
Lusztig, G.
15
2004
An induction theorem for Springer’s representations. Zbl 1138.20311
Lusztig, G.
8
2004
Character sheaves on disconnected groups. IV. Zbl 1075.20013
Lusztig, G.
5
2004
Character sheaves on disconnected groups. II. Zbl 1073.20036
Lusztig, G.
5
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.
2
2004
Convolution of almost characters. Zbl 1072.20053
Lusztig, G.
1
2004
Character sheaves on disconnected groups. V. Zbl 1076.20031
Lusztig, G.
1
2004
Hecke algebras with unequal parameters. Zbl 1051.20003
Lusztig, George
126
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.
5
2003
Current developments in mathematics, 2003. Zbl 1090.00008
Mazur, Barry (ed.); Schmid, Wilfried (ed.); Yau, S. T. (ed.); de Jong, A. J. (ed.); Jerison, David (ed.); Lustig, George (ed.)
1
2003
Cuspidal local systems and graded Hecke algebras. III. Zbl 1031.22007
Lusztig, G.
23
2002
Classification of unipotent representations of simple \(p\)-adic groups. II. Zbl 1016.22011
Lusztig, G.
20
2002
Rationality properties of unipotent representations. Zbl 1141.20300
Lusztig, G.
16
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.
37
2000
Quiver varieties and Weyl group actions. Zbl 0958.20036
Lusztig, George
13
2000
Transfer maps for quantum affine \({\mathfrak sl}_n\). Zbl 0990.17011
Lusztig, George
8
2000
\(G(F_q)\)-invariants in irreducible \(G(F_{q^2})\)-modules. Zbl 0964.20022
Lusztig, G.
8
2000
Remarks on quiver varieties. Zbl 1017.20040
Lusztig, G.
3
2000
Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\). Zbl 0983.17011
Lusztig, G.
29
1999
Bases in equivariant \(K\)-theory. II. Zbl 0999.20036
Lusztig, G.
18
1999
Subregular nilpotent elements and bases in \(K\)-theory. Zbl 0976.19002
Lusztig, G.
5
1999
Recollections about my teacher, Michael Atiyah. Zbl 0955.01018
Lusztig, G.
1
1999
...and 132 more Documents
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Cited by 2,349 Authors

120 Lusztig, George
43 Geck, Meinolf
32 Du, Jie
30 He, Xuhua
30 Malle, Gunter
28 Shi, Jianyi
26 Kashiwara, Masaki
26 Shoji, Toshiaki
25 Brenti, Francesco
25 Hu, Jun
25 Kazhdan, David A.
24 Stroppel, Catharina H.
24 Wang, Weiqiang
23 Bonnafé, Cédric
23 Ciubotaru, Dan
22 Achar, Pramod N.
22 Andersen, Henning Haahr
22 Joseph, Anthony
22 Kang, Seok-Jin
21 Williams, Lauren K.
20 Aubert, Anne-Marie
20 Mazorchuk, Volodymyr
20 Tiep Pham Huu
20 Vasserot, Eric
19 Brundan, Jonathan
19 Chari, Vyjayanthi
19 Fu, Qiang
19 Scott, Leonard L.
19 Xi, Nanhua
19 Yakimov, Milen T.
18 Dudas, Olivier
18 Henderson, Anthony
18 Li, Yiqiang
18 Parshall, Brian J.
18 Williamson, Geordie
17 Andruskiewitsch, Nicolás
17 Leclerc, Bernard
17 Rouquier, Raphaël
17 Solleveld, Maarten
17 Xiao, Jie
16 Doty, Stephen R.
16 Etingof, Pavel Il’ich
16 Green, Richard M.
16 Lauda, Aaron D.
16 Lehrer, Gustav Isaac
16 Opdam, Eric Marcus
15 Bezrukavnikov, Roman
15 Deng, Bangming
15 Khovanov, Mikhail G.
15 Rietsch, Konstanze
14 Barbasch, Dan M.
14 Cherednik, Ivan V.
14 Finkelberg, Michael Vladlenovich
14 Lam, Thomas F.
14 Michel, Jean
14 Riche, Simon
14 Varagnolo, Michela
14 Vinroot, C. Ryan
14 Zelevinskiĭ, Andreĭ V.
13 Cox, Ben Lewis
13 Ginzburg, Victor
13 Kwon, Jae-Hoon
13 Marietti, Mario
13 Marsh, Robert James
13 Misra, Kailash C.
13 Ostrik, Victor Valentinovich
13 Srinivasan, Bhama
13 Tingley, Peter W.
13 Zhang, Ruibin
12 Collingwood, David H.
12 Feĭgin, Boris L’vovich
12 Helminck, Aloysius G.
12 Kleshchev, Alexander S.
12 Naito, Satoshi
12 Reeder, Mark
12 Terwilliger, Paul M.
12 Webster, Ben
12 Yun, Zhiwei
11 Caselli, Fabrizio
11 Geiss, Christof
11 Haines, Thomas J.
11 Jing, Naihuan
11 Kamnitzer, Joel
11 Kaneda, Masaharu
11 Pylyavskyy, Pavlo
11 Reineke, Markus
11 Röhrle, Gerhard E.
11 Schröer, Jan
11 Sommers, Eric N.
11 Tanisaki, Toshiyuki
11 Taylor, Jay
11 Tubbenhauer, Daniel
11 Vogan, David Alexander jun.
11 Yamane, Hiroyuki
10 Berenstein, Arkady
10 Caldero, Philippe
10 Douglass, J. Matthew
10 Elias, Benjamin
10 Frenkel, Igor B.
10 Futorny, Vyacheslav M.
...and 2,249 more Authors
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Cited in 218 Serials

668 Journal of Algebra
309 Advances in Mathematics
213 Representation Theory
148 Communications in Algebra
139 Transactions of the American Mathematical Society
119 Duke Mathematical Journal
118 Journal of Pure and Applied Algebra
112 Communications in Mathematical Physics
108 Inventiones Mathematicae
90 Mathematische Zeitschrift
89 Transformation Groups
79 Selecta Mathematica. New Series
72 Journal of Algebraic Combinatorics
64 Compositio Mathematica
61 Algebras and Representation Theory
51 Journal of Mathematical Physics
50 Proceedings of the American Mathematical Society
50 Journal of the American Mathematical Society
46 Mathematische Annalen
42 Journal of Combinatorial Theory. Series A
37 Letters in Mathematical Physics
34 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
30 Israel Journal of Mathematics
27 Publications of the Research Institute for Mathematical Sciences, Kyoto University
27 Annals of Mathematics. Second Series
25 Annales de l’Institut Fourier
24 Manuscripta Mathematica
23 Nagoya Mathematical Journal
23 Journal of the Institute of Mathematics of Jussieu
22 Bulletin of the American Mathematical Society. New Series
22 Journal of Algebra and its Applications
20 Science China. Mathematics
19 Journal für die Reine und Angewandte Mathematik
19 European Journal of Combinatorics
19 Journal of High Energy Physics
18 Séminaire Lotharingien de Combinatoire
17 Indagationes Mathematicae. New Series
16 Journal of Geometry and Physics
16 Publications Mathématiques
15 Journal of the European Mathematical Society (JEMS)
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Nuclear Physics. B
14 Functional Analysis and its Applications
14 Memoirs of the American Mathematical Society
14 Advances in Applied Mathematics
14 Algebraic & Geometric Topology
13 Archiv der Mathematik
12 Proceedings of the Japan Academy. Series A
12 Communications in Contemporary Mathematics
12 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
11 Discrete Mathematics
11 Journal of Group Theory
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Journal of Functional Analysis
10 Tohoku Mathematical Journal. Second Series
10 Acta Applicandae Mathematicae
10 International Journal of Mathematics
10 Linear Algebra and its Applications
10 Annals of Combinatorics
10 Algebraic Combinatorics
9 Journal of Number Theory
9 Experimental Mathematics
9 Algebra Colloquium
8 Glasgow Mathematical Journal
8 Osaka Journal of Mathematics
8 International Journal of Algebra and Computation
8 Journal of Knot Theory and its Ramifications
8 Forum of Mathematics, Sigma
7 Bulletin de la Société Mathématique de France
7 Michigan Mathematical Journal
7 Journal of Symbolic Computation
7 Journal of Mathematical Sciences (New York)
7 Algebra & Number Theory
7 Quantum Topology
6 Acta Mathematica
6 Journal of Soviet Mathematics
6 Pacific Journal of Mathematics
6 Proceedings of the London Mathematical Society. Third Series
6 Tokyo Journal of Mathematics
6 Journal of Algebraic Geometry
6 Finite Fields and their Applications
6 Journal of Lie Theory
6 Acta Mathematica Sinica. English Series
6 Frontiers of Mathematics in China
6 Japanese Journal of Mathematics. 3rd Series
5 Bulletin of the Australian Mathematical Society
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Geometric and Functional Analysis. GAFA
5 Applicable Algebra in Engineering, Communication and Computing
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 The Electronic Journal of Combinatorics
5 Documenta Mathematica
5 Kyoto Journal of Mathematics
5 Journal de l’École Polytechnique – Mathématiques
4 International Journal of Modern Physics A
4 Linear and Multilinear Algebra
4 Theoretical and Mathematical Physics
4 Mathematics of Computation
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
...and 118 more Serials
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Cited in 47 Fields

1,918 Group theory and generalizations (20-XX)
1,584 Nonassociative rings and algebras (17-XX)
773 Algebraic geometry (14-XX)
706 Associative rings and algebras (16-XX)
556 Combinatorics (05-XX)
533 Topological groups, Lie groups (22-XX)
340 Quantum theory (81-XX)
239 Number theory (11-XX)
204 Category theory; homological algebra (18-XX)
144 Manifolds and cell complexes (57-XX)
103 Commutative algebra (13-XX)
70 Special functions (33-XX)
66 Algebraic topology (55-XX)
65 Several complex variables and analytic spaces (32-XX)
64 Differential geometry (53-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
51 \(K\)-theory (19-XX)
48 Convex and discrete geometry (52-XX)
44 Functional analysis (46-XX)
44 Global analysis, analysis on manifolds (58-XX)
37 Order, lattices, ordered algebraic structures (06-XX)
35 Statistical mechanics, structure of matter (82-XX)
26 Dynamical systems and ergodic theory (37-XX)
25 Abstract harmonic analysis (43-XX)
19 Computer science (68-XX)
17 Partial differential equations (35-XX)
16 Geometry (51-XX)
13 Functions of a complex variable (30-XX)
9 Relativity and gravitational theory (83-XX)
7 General and overarching topics; collections (00-XX)
6 Probability theory and stochastic processes (60-XX)
6 Information and communication theory, circuits (94-XX)
5 Field theory and polynomials (12-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
2 General algebraic systems (08-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 Operator theory (47-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

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