Electronic Only Electronic Research Announcements
Representation Theory
ISSN 1088-4165
     

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.


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