Electronic Only Electronic Research Announcements
Representation Theory
ISSN 1088-4165
Previous volume | Table of contents | Next volume
Articles in press | Most recent volume | All volumes
Previous Article | Next Article
     

Bases in equivariant $K$-theory. II

Author(s): G. Lusztig
Journal: Represent. Theory 3 (1999), 281-353.
MSC (1991): Primary 20G99
Posted: September 28, 1999
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this paper we establish a connection between the ``bases" in Bases in equivariant $K$-theory, Represent. Theory 2 (1999), 298-369 and the periodic $W$-graphs introduced in Periodic $W$-graphs, Represent. Theory 1 (1997), 207-279.

References:

[BB]
A. Bialynicki-Birula, Some theorems on actions of algebraic groups, Ann. of Math. 98 (1973), 480-497. MR 51:3186

[BS]
W. M. Beynon and N. Spaltenstein, Green functions of finite Chevalley groups of type $E_{n} (n=6,7,8)$, J. of Algebra 88 (1984), 584-614. MR 85k:20136

[C]
R. W. Carter, Finite groups of Lie type. Conjugacy classes and complex characters, John Wiley, 1985. MR 87d:20060

[DK]
C. De Concini and V. Kac, Representations of quantum groups at roots of $1$, Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory (Colloque Dixmier), A. Connes et al. (eds.) Progress in Math., vol. 92, Birkhäuser, Boston, 1990. MR 92g:17012

[DLP]
C. De Concini, G. Lusztig 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. MR 89f:14052

[D]
D. Dokovic, Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers, J. of Alg. 112 (1988), 503-524. MR 89b:17010

[F]
W. Fulton, Intersection theory, 2nd ed., Springer Verlag, Berlin, Heidelberg, 1998. MR 99d:14003

[KL]
D. Kazhdan and G. Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), 153-215. MR 88d:11121

[L1]
G. Lusztig, Hecke algebras and Jantzen's generic decomposition patterns, Adv. in Math. 37 (1980), 121-164. MR 82b:20059

[L2]
G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), 205-272. MR 86d:20050

[L3]
G. Lusztig, Cells in affine Weyl groups, Algebraic groups and related topics, Adv. Stud. Pure Math., vol. 6, North-Holland and Kinokuniya, Tokyo and Amsterdam, 1985, pp. 255-287; II, J. Algebra 109 (1987), 536-548; III, J. Fac. Sci. Tokyo U. (IA) 34 (1987), 223-243; IV, J. Fac. Sci. Tokyo U. (IA) 36 (1989), 297-328. MR 87h:20074;MR 88m:20103a;MR 88m:20103b;MR 90k:20068

[L4]
G. Lusztig, Periodic $W$-graphs, Represent. Theory (electronic) 1 (1997), 207-279. MR 99a:20042

[L5]
G. Lusztig, Bases in equivariant $K$-theory, Represent. Theory (electronic) 2 (1998), 298-369. MR 99i:19005

[L6]
G. Lusztig, Subregular nilpotent elements and bases in $K$-theory, Canad. J. Math. (1999).

[L7]
G. Lusztig, Representation theory in characteristic $p$, Proceedings of Taniguchi Conference, Nara '98 (to appear).

[Se]
J. Sekiguchi, Remarks on real nilpotent orbits of a symmetric pair, J. Math. Soc. Japan 39 (1987), 127-138. MR 88g:53053

[S]
P. Slodowy, Simple algebraic groups and simple singularities, Lecture Notes in Math. 815, Springer Verlag, Berlin-Heidelberg-New York, 1980. MR 82g:14037

[Th]
R. W. Thomason, Une formule de Lefschetz en $K$-théorie équivariante algébrique, Duke Math.J. 68 (1992), 447-462. MR 93m:19007

Similar Articles:

Retrieve articles in Representation Theory with MSC (1991): 20G99

Retrieve articles in all Journals with MSC (1991): 20G99

Additional Information:

G. Lusztig
Affiliation: Institute for Advanced Study, Princeton, New Jersey 08540
Address at time of publication: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI: 10.1090/S1088-4165-99-00083-7
PII: S 1088-4165(99)00083-7
Received by editor(s): March 9, 1999
Received by editor(s) in revised form: April 15, 1999 and August 7, 1999
Posted: September 28, 1999
Additional Notes: Supported by the Ambrose Monnel Foundation and the National Science Foundation
Copyright of article: Copyright 1999, American Mathematical Society

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google