|
Character sheaves on disconnected groups, IX
Author(s):
G.
Lusztig
Journal:
Represent. Theory
10
(2006),
353-379.
MSC (2000):
Primary 20G99
Posted:
August 17, 2006
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
We associate a two-sided cell to any (parabolic) character sheaf. We study the interaction between the duality operator for character sheaves and the operation of ``twisted induction".
References:
-
- [BBD]
- A. Beilinson, J. Bernstein, P. Deligne, Faisceaux pervers, Astérisque 100 (1982). MR 0751966 (86g:32015)
- [De]
- P. Deligne, La conjecture de Weil, II, Publ.Math. I.H.E.S. 52 (1980), 137-252. MR 0601520 (83c:14017)
- [G]
- V. Ginzburg, Admissible modules on a symmetric space, Astérisque 173-174 (1989), 199-255. MR 1021512 (91c:22030)
- [Gr]
- I. Grojnowski, Character sheaves on symmetric spaces, Ph.D. thesis, MIT, 1992.
- [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. Theory. (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, pp. 346-376; VI, vol. 8, 2004, pp. 377-413; VII, vol. 9, 2005, pp. 209-266; VIII, vol. 10, 2006. MR 2017063 (2006d:20090a); MR 2048588 (2006d:20090b); MR 2048589 (2006d:20090c); MR 2048590 (2006d:20090d); MR 2077486 (2005h:20111); MR 2084488 (2005h:20112); MR 2133758 (2006e:20089)
- [L14]
- G. Lusztig, Characters of reductive groups over a finite field, Ann. Math. Studies, vol. 107, Princeton Univ. Press, 1984. MR 0742472 (86j:20038)
- [L10]
- G. Lusztig, Parabolic character sheaves, I, Moscow Math. J. 4 (2004), 153-179. MR 2074987 (2006d:20091a)
- [MV]
- I. Mirkovic, K. Vilonen, Characteristic varieties of character sheaves, Invent. Math. 93 (1988), 405-418. MR 0948107 (89i:20066)
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/S1088-4165-06-00315-3
PII:
S 1088-4165(06)00315-3
Received by editor(s):
February 8, 2006
Posted:
August 17, 2006
Additional Notes:
Supported in part by the National Science Foundation
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|