Electronic Only Electronic Research Announcements
Representation Theory
ISSN 1088-4165
     

Character sheaves on disconnected groups, VII

Author(s): G. Lusztig
Journal: Represent. Theory 9 (2005), 209-266.
MSC (2000): Primary 20G99
Posted: March 25, 2005
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: We define and study convolution of parabolic character sheaves. As an application, we attach to any parabolic character sheaf the orbit of a tame local system on the maximal torus under a subgroup of the Weyl group.


References:

[BBD]
A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque 100 (1982). MR 0751966 (86g:32015)

[Gi]
V. Ginzburg, Admissible modules on a symmetric space, in: ``Orbites unipotentes et représentations, III", Astérisque 173-174 (1989), 199-255. MR 1021512 (91c:22030)

[KL]
D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inv. Math. 53 (1979), 165-184. MR 0560412 (81j:20066)

[L3]
G. Lusztig, Character sheaves, I, Adv. Math. 56 (1985), 193-237. MR 0792706 (87b:20055); II, vol. 57, 1985, pp. 226-265; III, vol. 57, 1985, pp. 266-315. MR 0806210 (87m:20118a); IV, vol. 59, 1986, pp. 1-63. MR 0825086 (87m:20118b); V, vol. 61, 1986, pp. 103-155. MR 0849848 (87m:20118c); Erratum. MR 0866163 (87m:20118d)

[L9]
G. Lusztig, Character sheaves on disconnected groups, I, Represent. Theory (electronic) 7 (2003), 374-403. MR 2017063; II, vol. 8, 2004, pp. 72-124. MR 2048588; III, vol. 8, 2004, pp. 125-144.MR 2048589; IV, vol. 8, 2004, pp. 145-178. MR 2048589; Errata, vol. 8, 2004, pp. 179-179; V, vol. 8, 2004, pp. 346-376. MR 2077486; VI, vol. 8, 2004, pp. 377-413. MR 2084488

[L13]
G. Lusztig, Quantum groups at $v=\infty$, Functional analysis on the eve of the 21st century: in honor of I.M. Gelfand, vol. I, Progr. in Math. 131, Birkhäuser, 1995, pp. 199-221. MR 1373004 (97g:17014)

[L12]
G. Lusztig, Hecke algebras with unequal parameters, CRM Monographs Ser., vol. 18, Amer. Math. Soc., 2003. MR 1974442 (2004k:20011)

[MS]
J.G.M. Mars and T.A. Springer, Character sheaves, Astérisque 173-174 (1989), 111-198. MR 1021511 (91a:20044)

[Y]
T. Yokonuma, Sur la structure des anneaux de Hecke d'un groupe de Chevalley fini, C.R. Acad. Sci. Paris Ser. A-B 264 (1967), A344-A347. MR 0218467 (36 #1553)


Similar Articles:

Retrieve articles in Representation Theory with MSC (2000): 20G99

Retrieve articles in all Journals with MSC (2000): 20G99


Additional Information:

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI: 10.1090/S1088-4165-05-00278-5
PII: S 1088-4165(05)00278-5
Received by editor(s): November 4, 2004
Posted: March 25, 2005
Additional Notes: Supported in part by the National Science Foundation
Copyright of article: Copyright 2005, American Mathematical Society


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