GEORGE LUSZTIG
1. Model de geometrie afina plana peste un corp finit, Studii Cerc.Mat.17(1965), 1337-1340.
2. Constructia fibrarilor universale peste poliedre arbitrare, Studii Cerc.Mat. 18(1965), 1215-1219.
3. (with H.Moscovici) Démonstration du théorème sur la suite spectrale d'un fibré au sens de Kan, Proc.Camb.Phil.Soc.64(1968), 293-297.
4. Sur les complexes elliptiques fibrés, C.R.Acad.Sci.Paris(A)266(1968), 914-917.
5. Sur les actions libres des groupes finis, Bull.Acad.Polon.Sci.16(1968), 461-463.
6. Coomologia complexelor eliptice, Studii Cerc.Mat.21(1969), 38-83.
7. A property of certain non-degenerate holomorphic vector fields, An.Univ.Timisoara 7(1969), 73-76.
8. (with J.Milnor and F.P.Peterson) Semicharacteristics and cobordism, Topology 8(1969), 357-359. Comments
9. Remarks on the holomorphic Lefschetz formula, in "Analyse globale", Presses de l'Univ. de Montréal 1969, 193-204. Comments
10. (with J.Dupont) On manifolds satisfying w_1^2=0, Topology 10(1971), 81-92. Comments
11. Novikov's higher signature and families of elliptic operators, J.Diff.Geom. 7(1972), 229-256. Comments
12. On the discrete series representations of the general linear groups over a finite field, Bull.Amer.Math.Soc.79(1973), 550-554.
13. THE DISCRETE SERIES OF GL_n OVER A FINITE FIELD, Ann.Math. Studies 81, Princeton U.Press 1974, 99p.
14. Introduction to elliptic operators, in "Global Analysis and applications", Internat. Atomic Energy Agency, Vienna 1974, 187-193.
15. (with R.W.Carter) On the modular representations of the general linear and symmetric groups, Math.Z.136(1974), 193-242.
16. On the discrete series representations of the classical groups over a finite field, in "Proc.Int.Congr.Math.,Vancouver 1974", 465-470.
17. (with R.W.Carter) Modular representations of the general linear and symmetric groups, Proc.2nd Int.Conf.Th.Groups 1973, LNM 372, Springer Verlag 1974, 218-220.
18. Sur la conjecture de Macdonald, C.R.Acad.Sci.Paris(A) 280(1975), 371-320.
19. Divisibility of projective modules of finite Chevalley groups by the Steinberg module, Bull.Lond.Math.Soc.8(1976), 130-134.
20. A note on counting nilpotent matrices, Bull.Lond.Math.Soc.8(1976), 77-80.
21. (with R.W.Carter) Modular representations of finite groups of Lie type, Proc.Lond.Math.Soc.32(1976), 347-384.
22. (with P.Deligne) Representations of reductive groups over finite fields, Ann.Math.103(1976), 103-161.
23. On the finiteness of the number of unipotent classes, Invent.Math. 34(1976), 201-213.
24. Coxeter orbits and eigenspaces of Frobenius, Invent.Math.28(1976), 101-159.
25. (with J.A.Green and G.I.Lehrer) On the degrees of certain group characters, Quart.J.Math.27(1976), 1-4.
26. On the Green polynomials of classical groups, Proc.Lond.Math.Soc.33(1976), 443-475.
27. (with B.Srinivasan) The characters of the finite unitary groups, J.Algebra 49(1977), 167-171.
28. Classification des représentations irreductibles des groupes classiques finis, C.R.Acad.Sci.Paris(A) 284(1977), 473-476.
29. Irreducible representations of finite classical groups, Invent.Math.43(1977), 125-175.
30. Representations of finite Chevalley groups, Regional Conf. Series in Math.39, Amer.Math.Soc. 1978, 48p. Errata (ps)
31. (with W.M.Beynon) Some numerical results on the characters of exceptional Weyl groups, Math.Proc.Camb.Phil.Soc.84(1978), 417-426.
32. Some remarks on the supercuspidal representations of p-adic semisimple groups, Proc.Symp.Pure Math.33(1), Amer.Math.Soc. 1979, 171-175.
33. On the reflection representation of a finite Chevalley group, in "Representation theory of Lie groups", LMS Lect.Notes Ser.34, Cambridge U.Press 1979, 325-337.
34. Unipotent representations of a finite Chevalley group of type E_8, Quart.J.Math.30(1979), 315-338.
35. (with N.Spaltenstein) Induced unipotent classes, J.Lond.Math.Soc.19(1979), 41-52.
36. A class of irreducible representations of a Weyl group, Proc.Kon.Nederl.Akad.(A) 82(1979), 323-335.
37. (with D.Kazhdan) Representations of Coxeter groups and Hecke algebras, Invent.Math.53(1979), 165-184.
38. (with D.Kazhdan) Schubert varieties and Poincaré duality, Proc.Symp.Pure Math.36, Amer.Math.Soc. 1980, 185-203.
39. Some problems in the representation theory of finite Chevalley groups, Proc.Symp.Pure Math.37, Amer.Math.Soc. 1980, 313-317.
40. Hecke algebras and Jantzen's generic decomposition patterns, Adv.Math.37(1980), 121-164.
41. On the unipotent characters of the exceptional groups over finite fields, Invent.Math.60(1980), 173-192.
42. (with D.Kazhdan) A topological approach to Springer's representations, Adv.Math.38(1980), 222-228.
43. On a theorem of Benson and Curtis, J.Algebra 71(1981), 490-498.
44. Green polynomials and singularities of unipotent classes, Adv.Math.42(1981), 169-178.
45. Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Invent.Math.64(1981), 263-296.
46. Unipotent characters of the even orthogonal groups over a finite field, Trans.Amer.Math.Soc.272(1982), 733-751.
47. (with P.Deligne) Duality for representations of a reductive group over a finite field, J.Algebra 74(1982), 284-291.
48. (with D.Alvis) On Springer's correspondence for simple groups of type E_n (n=6,7,8), Math.Proc.Camb.Phil.Soc.92(1982), 65-72.
49. (with D.Alvis) The representations and generic degrees of the Hecke algebras of type H_4, J. für reine und angew.math.336(1982), 201-212; Erratum, 449(1994), 217-218.
50. A class of irreducible representations of a Weyl group II, Proc.Kon.Nederl.Akad.(A) 85(1982), 219-226.
51. (with D.Vogan) Singularities of closures of K-orbits on a flag manifold, Invent.Math.71(1983), 365-379.
52. (with P.Deligne) Duality for representations of a reductive group over a finite field II, J.Algebra 81(1983), 540-549.
53. Singularities, character formulas and a q-analog of weight multiplicities, Astérisque 101-102(1983),208-229.
54. Some examples of square integrable representations of semisimple p-adic groups, Trans.Amer.Math.Soc.227(1983), 623-653.
55. Left cells in Weyl groups, in "Lie groups representations", LNM 1024, Springer Verlag 1983, 99-111.
56. Characters of reductive groups over a finite field, in "Proc.Int.Congr.Math., Warsaw 1983", 877-880.
57. Open problems in algebraic groups, Proc.12th Int.Symp., Taniguchi Foundation, Katata 1983, p.14.
58. CHARACTERS OF REDUCTIVE GROUPS OVER A FINITE FIELD, Ann.Math.Studies 107, Princeton U.Press 1984, 384p. Errata (ps)
59. Intersection cohomology complexes on a reductive group, Invent.Math.75(1984), 205-272.
60. Cells in affine Weyl groups, in "Algebraic groups and related topics", Adv.Stud.Pure Math.6, North-Holland and Kinokuniya 1985, 255-287.
61. (with N.Spaltenstein) On the generalized Springer correspondence for classical groups, in "Algebraic groups and related topics", Adv.Stud.Pure Math.6, North Holland and Kinokuniya 1985, pp. 289-316.
62. The two sided cells of the affine Weyl group of type A, in "Infinite dimensional groups with applications", MSRI Publ.4, Springer Verlag 1985, pp.275-283.
63. Character sheaves I, Adv.Math.56(1985), 193-237.
64. Character sheaves II, Adv.Math.57(1985), 226-265.
65. Character sheaves III, Adv.Math.57(1985), 266-315.
66. Equivariant K-theory and representations of Hecke algebras, Proc.Amer.Math.Soc. 94(1985), 337-342.
67. (with D.Kazhdan) Equivariant K-theory and representations of Hecke algebras II, Invent.Math.80(1985), 209-231.
68. Character sheaves IV, Adv.Math.59(1986), 1-63.
69. Character sheaves V, Adv.Math.61(1986), 103-155.
70. Sur les cellules gauches des groupes de Weyl, C.R.Acad.Sci.Paris(A), 302(1986), 5-8.
71. On the character values of finite Chevalley groups at unipotent elements, J.Algebra 104(1986), 146-194.
72. (with D.Kazhdan) Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent.Math.87(1987), 153-215.
73. Cells in affine Weyl groups II, J.Algebra 109(1987), 536-548.
74. Fourier transforms on a semisimple Lie algebra over F_q, in "Algebraic Groups-Utrecht 1986", LNM 1271, Springer Verlag 1987, 177-188.
75. Cells in affine Weyl groups III, J.Fac.Sci.Tokyo U.(IA) 34(1987), 223-243.
76. Introduction to character sheaves, Proc.Symp.Pure Math.47(1), Amer.Math.Soc. 1987, 165-180.
77. Leading coefficients of character values of Hecke algebras, Proc.Symp.Pure Math.47(2), Amer.Math.Soc. 1987, 235-262.
78. (with C.De Concini and C.Procesi) Homology of the zero set of a nilpotent vector field on a flag manifold, J.Amer.Math.Soc.1(1988), 15-34.
79. Quantum deformations of certain simple modules over enveloping algebras, Adv.Math.70(1988), 237-249.
80. (with D.Kazhdan) Fixed point varieties on affine flag manifolds, Isr.J.Math.62(1988), 129-168. Comments
81. Cuspidal local systems and graded Hecke algebras I, Publ.Math.I.H.E.S.67(1988), 145-202.
82. (with Xi Nanhua) Canonical left cells in affine Weyl groups, Adv.Math.72(1988), 284-288.
83. On representations of reductive groups with disconnected center, Astérisque 168(1988), 157-166.
84. Modular representations and quantum groups, Contemp.Math.82(1989), 59-77.
85. Affine Hecke algebras and their graded version, J.Amer.Math.Soc.2(1989), 599-635.
86. Cells in affine Weyl groups IV, J.Fac.Sci.Tokyo U.(IA) 36(1989), 297-328. Comments
87. Representations of affine Hecke algebras, Astérisque 171-172(1989), 73-84.
88. Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J.Amer.Math.Soc.3(1990), 257-296.
89. Green functions and character sheaves, Ann.Math. 131(1990), 355-408.
90. Canonical bases arising from quantized enveloping algebras, J.Amer.Math.Soc.3(1990), 447-498. History.
91. On quantum groups, J.Algebra 131(1990), 466-475.
92. Quantum groups at roots of 1, Geom.Ded.35(1990), 89-114.
93. (with A.A.Beilinson and R.MacPherson) A geometric setting for the quantum deformation of GL_n, Duke Math.J.61(1990), 655-677.
94. Symmetric spaces over a finite field, in "The Grothendieck Festschrift III", Progr.in Math.88, Birkhauser Boston 1990, 57-81. Errata (ps)
95. Canonical bases arising from quantized enveloping algebras II (ps), in "Common trends in mathematics and quantum field theories", Progr.of Theor.Phys.Suppl.102(1990), ed. T.Eguchi&al., 175-201.
96. (with D.Kazhdan) Affine Lie algebras and quantum groups, Int.Math.Res.Notices 1991, 21-29.
97. Quivers, perverse sheaves and enveloping algebras, J.Amer.Math.Soc.4(1991), 365-421.
98. (with J.M.Smelt) Fixed point varieties in the space of lattices, Bull.Lond.Math.Soc.23(1991), 213-218.
99. Intersection cohomology methods in representation theory, in "Proc.Int.Congr.Math.Kyoto 1990", Springer Verlag 1991, 155-174.
100. A unipotent support for irreducible representations, Adv.Math.94(1992), 139-179.
101. Canonical bases in tensor products, Proc.Nat.Acad.Sci.89(1992), 8177-8179.
102. Remarks on computing irreducible characters, J.Amer.Math.Soc.5(1992), 971-986.
103. Introduction to quantized enveloping algebras, in Progr.in Math.105, Birkhauser Boston 1992, 49-65.
104. Affine quivers and canonical bases, Publ.Math.I.H.E.S.76(1992), 111-163.
105. (with J.Tits) The inverse of a Cartan matrix (ps), An.Univ.Timisoara 30(1992), 17-23.
106. (with I.Grojnowski) On bases of irreducible representations of quantum GL_n, in "Kazhdan-Lusztig theory and related topics", Contemp.Math.139(1992), 167-174.
107. INTRODUCTION TO QUANTUM GROUPS, Progr.in Math.110, Birkhauser Boston 1993, 341p. New errata (ps)
108. (with D.Kazhdan) Tensor structures arising from affine Lie algebras I, J.Amer.Math.Soc.6(1993), 905-947.
109. (with D.Kazhdan) Tensor structures arising from affine Lie algebras II, J.Amer.Math.Soc.6(1993), 949-1011.
110. Coxeter groups and unipotent representations, Astérisque 212(1993), 191-203.
111. (with I.Grojnowski) A comparison of bases of quantized enveloping algebras, in "Linear algebraic groups and their representations", Contemp.Math.153(1993), 11-19.
112. Tight monomials in quantized enveloping algebras,(ps) in "Quantum deformations of algebras and their representations" ed. A.Joseph&al., Isr.Math.Conf.Proc.7(1993), Amer.Math.Soc. 117-132.
113. Exotic Fourier transform, Duke Math.J.73(1994), 227-241.
114. Vanishing properties of cuspidal local systems, Proc.Nat.Acad.Sci.91(1994), 1438-1439.
115. (with D.Kazhdan) Tensor structures arising from affine Lie algebras III, J.Amer.Math.Soc.7(1994), 335-381.
116. (with D.Kazhdan) Tensor structures arising from affine Lie algebras IV, J.Amer.Math.Soc.7(1994), 383-453.
117. Monodromic systems on affine flag manifolds, Proc.Roy.Soc.Lond.(A) 445(1994), 231-246; Errata (ps), 450(1995), 731-732.
118. Problems on canonical bases, in "Algebraic groups and their generalizations: quantum and infinite dimensional methods", Proc.Symp.Pure Math.56(2), Amer.Math.Soc. 1994, 169-176.
119. Total positivity in reductive groups, in "Lie theory and geometry", Progr.in Math.123, Birkhauser Boston 1994, 531-568.
120. Study of perverse sheaves arising from graded Lie algebras, Adv.Math.112(1995), 147-217.
121. Cuspidal local systems and graded Hecke algebras II, in "Representations of groups" ed.B.Allison&al., Canad.Math.Soc.Conf.Proc.16, Amer.Math.Soc. 1995, 217-275.
122. Quantum groups at v=infinity, in "Functional analysis on the eve of the 21st century", vol.I, Progr.in Math.131, Birkhauser Boston 1995, 199-221.Comments
123. Classification of unipotent representations of simple p-adic groups, Int.Math.Res.Notices (1995), 517-589.
124. An algebraic-geometric parametrization of the canonical basis, Adv.Math.120(1996), 173-190.
125. Affine Weyl groups and conjugacy classes in Weyl groups, Transform.Groups 1(1996), 83-97.
126. Braid group actions and canonical bases, Adv.Math.122(1996), 237-261.
127. Non local finiteness of a W-graph, Represent.Th.1(1997), 25-30 (electronic).
128. Hermitian representations and cohomology of Lie groups, Represent.Th.1(1997), 31-36 (electronic).
129. (with C.K.Fan) Factorization of certain exponentials in Lie groups, in "Algebraic groups and Lie groups", ed. G.I.Lehrer, Cambridge U.Press 1997, 215-218.
130. Total positivity and canonical bases, in "Algebraic groups and Lie groups" ed. G.I.Lehrer, Cambridge U.Press 1997., 281-295.
131. Notes on unipotent classes, Asian J.Math.1(1997), 194-207.
132. Cells in affine Weyl groups and tensor categories, Adv.Math.129(1997), 85-98. Comments
133. Periodic W-graphs, Represent.Th.1(1997), 207-279 (electronic).
134. A comparison of two graphs, Int.Math.Res.Notices (1997), 639-640.
135. Constructible functions on the Steinberg variety, Adv.Math.130(1997), 287-310.
136. Total positivity in partial flag manifolds, Represent.Th.2(1998), 70-78 (electronic).
137. Introduction to total positivity (ps), in "Positivity in Lie theory: open problems" ed. J.Hilgert&al., de Gruyter 1998, 133-145.
138. On quiver varieties, Adv.Math.136(1998), 141-182. Comments
139. Canonical bases and Hall algebras, in "Representation Theories and Algebraic Geometry", ed. A.Broer&al., Kluwer Acad.Publ. 1998, 365-399.
140. Bases in equivariant K-theory, Represent.Th.2(1998), 298-369(electronic).
141. Homology bases arising from reductive groups over a finite field, in "Algebraic groups and their representations", ed. R.W.Carter&al., Kluwer Acad.Publ. 1998, 53-72.
142. Aperiodicity in quantum affine gl(n) (ps), Asian J.Math.3(1999), 147-178.
143. Bases in equivariant K-theory II, Represent.Th.3(1999), 281-353(electronic).
144. A survey of group representations, Nieuw Archief voor Wiskunde 17(1999), 483-489.
145. Subregular nilpotent elements and bases in K-theory, Canad.J.Math.51(1999), 1194-1225.
146. Recollections about my teacher, Michael Atiyah, Asian J.Math.3(1999),v-vi.
147. Semicanonical bases arising from enveloping algebras, Adv.Math.151(2000), 129-139.
148. Fermionic form and Betti numbers (ps), QA/0005010.
149. Quiver varieties and Weyl group actions, Ann.Inst.Fourier 50(2000), 461-489.
150. G(F_q)-invariants in irreducible G(F_{q^2})-modules, Represent.Th.4(2000), 448-465 (electronic).
151. Remarks on quiver varieties, Duke Math.J.105(2000), 239-265.
152. Transfer maps for quantum affine sl(n) (ps), in "Representations and quantizations", ed. J.Wang&al., China Higher Education Press and Springer Verlag 2000, 341-356.
153. Representation theory in characteristic p, in "Taniguchi Conf. on Math. Nara'98", Adv.Stud.Pure Math.31, Math.Soc.Japan, 2001, 167-178.
154. Cuspidal local systems and graded Hecke algebras III, Represent.Th.6(2002), 202-242 (electronic).
155. Classification of unipotent representations of simple p-adic groups II, Represent.Th.6(2002), 243-289 (electronic).
156. Constructible functions on varieties attached to quivers, in "Studies in memory of I.Schur", Progress in Math.210, Birkhauser Boston 2002, 177-223.
157. Rationality properties of unipotent representations, J.Algebra 258(2002), 1-22.
158. Notes on affine Hecke algebras, in "Iwahori-Hecke algebras and their representation theory", ed. M.W.Baldoni&al., LNM 1804, Springer Verlag 2002, 71-103,
159. HECKE ALGEBRAS WITH UNEQUAL PARAMETERS, CRM Monographs Ser.18, Amer.Math.Soc. 2003, 136p.
160. Homomorphisms of the alternating group A5 into reductive groups, J.Algebra 260(2003), 298-322.
161. Character sheaves on disconnected groups I, Represent.Th.7(2003), 374-403 (electronic); Errata 8(2004), 179-179.
162. Representations of reductive groups over finite rings, Represent.Th.8(2004), 1-14 (electronic).
163. Character sheaves on disconnected groups II,Represent.Th.8(2004), 72-124 (electronic).
164. Character sheaves on disconnected groups III,Represent.Th.8(2004), 125-144 (electronic).
165. Character sheaves on disconnected groups IV,Represent.Th.8(2004), 145-178 (electronic).
166. Parabolic character sheaves I, Mosc.Math.J.4(2004), 153-179.
167. An induction theorem for Springer's representations, in "Representation theory of Algebraic Groups and Quantum Groups", Adv.Stud.Pure Math.40, Math.Soc.Japan, Kinokuniya 2004, 253-259.
168. Character sheaves on disconnected groups V, Represent.Th.8(2004), 346-376 (electronic).
169. Character sheaves on disconnected groups VI, Represent.Th.8(2004), 377-413 (electronic).
170. Parabolic character sheaves II, Mosc.Math.J.4(2004), 869-896.
171. Convolution of almost characters, Asian J.Math.8(2004), 769-772.
172. Character sheaves on disconnected groups VII, Represent.Th.9(2005), 209-266(electronic).
173. Unipotent elements in small characteristic, Transform.Groups 10(2005), 449-487.
174. Character sheaves and generalizations, in "The unity of mathematics", ed. P.Etingof&al., 443-455, Progress in Math.244, Birkhauser Boston 2006.
175. A q-analogue of an identity of N. Wallach, in "Studies in Lie Theory", ed.J.Bernstein&al., 405-410, Progress in Math.243, Birkhauser Boston 2006.
176. Character sheaves on disconnected groups VIII, Represent.Th.10(2006), 314-352(electronic).
177. Character sheaves on disconnected groups IX, Represent.Th.10(2006), 353-379(electronic).
178. A class of perverse sheaves on a partial flag manifold, Represent.Th.11(2007), 122-171(electronic).
179. (with X.He) Singular supports for character sheaves on a group compactification, Geom. and Funct.Analysis 17(2007), 1915-1923,(published online Jan.30,2008).
180. Irreducible representations of finite spin groups, Represent.Th.12(2008), 1-36(electronic).
181. A survey of total positivity, Milan J.Math. (published online Feb.13,2008).
182. Study of a Z-form of the coordinate ring of a reductive group, J.Amer.Math.Soc. (published online 31 March 2008).
183.Generic character sheaves on disconnected groups and character values, Represent.Th.12(2008), 225-235(electronic).
184. Unipotent elements in small characteristic, II (ps), RT/0612320, to appear.
185. (with S.Kumar and D.Prasad) Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups (ps), (Revised 9/19/2007) RT/0701615, to appear.
186. Twelve bridges from a reductive group to its Langlands dual (ps), (Revised 9-19-2007) arxiv:0708.3430, to appear.
187. Graded Lie algebras and intersection cohomology (ps), (Revised 5-11-2006) RT/0604535, to appear.
188. Unipotent classes and special Weyl group representations (ps), arxiv:0711.4287, to appear.
189. Notes on character sheaves (ps), (Revised 5/08/2008) arxiv:0805.0787, submitted.