Electronic Only Electronic Research Announcements
Representation Theory
ISSN 1088-4165
     

Character sheaves on disconnected groups, VI

Author(s): G. Lusztig
Journal: Represent. Theory 8 (2004), 377-413.
MSC (2000): Primary 20G99
Posted: August 20, 2004
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

Abstract: We define the character sheaves on a connected component of a reductive group and we show that the restriction functor takes a character sheaf to a direct sum of character sheaves.


References:

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

[D]
P. Deligne, La conjecture de Weil,II, Publ. Math. I.H.E.S. 52 (1980), 137-252. MR 0601520 (83c:14017)

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

[L9]
G. Lusztig, Character sheaves on disconnected groups,I, Represent.Th. (electronic) 7 (2003), 374-403; II, vol. 8, 2004, pp. 72-124; III, vol. 8, 2004, pp. 125-144; IV, vol. 8, 2004, pp. 145-178; Errata, vol. 8, 2004, pp. 179-179; V, vol. 8, 2004. MR 2017063; MR 2048588; MR 2048589; MR 2048590; MR 2058725

[L10]
G. Lusztig, Parabolic character sheaves, I, Moscow Math. J. 4 (2004), 153-179.

[L11]
G. Lusztig, Letter to J.G.M. Mars, Nov. 23, 1985.

[L12]
G. Lusztig, Hecke algebras with unequal parameters, Amer. Math. Soc., 2003, CRM Monograph Ser. 18. MR 1974442

[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.

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
Email: gyuri@math.mit.edu

DOI: 10.1090/S1088-4165-04-00252-3
PII: S 1088-4165(04)00252-3
Received by editor(s): June 7, 2004
Posted: August 20, 2004
Additional Notes: Supported in part by the National Science Foundation. The author thanks the Institut des Hautes Études Scientifiques for its hospitality
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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