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Character sheaves on disconnected groups, X
Author(s):
G.
Lusztig
Journal:
Represent. Theory
13
(2009),
82-140.
MSC (2000):
Primary 20G99
Posted:
April 8, 2009
MathSciNet review:
2495562
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Additional information
Abstract:
We classify the unipotent character sheaves on a fixed connected component of a reductive algebraic group under a mild condition on the characteristic of the ground field.
References:
-
- [BBD]
- A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque 100 (1982). MR 751966 (86g:32015)
- [DL]
- P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. Math. 103 (1976), 103-161. MR 0393266 (52:14076)
- [KL1]
- D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Inv. Math. 53 (1979), 165-184. MR 560412 (81j:20066)
- [KL2]
- D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. 36 (1980), 185-203. MR 573434 (84g:14054)
- [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 792706 (87b:20055)
- [L7]
- G. Lusztig, Irreducible representations of finite classical groups, Inv. Math. 43 (1977), 125-175. MR 0463275 (57:3228)
- [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, pp. 314-352; IX, vol. 10, 2006, pp. 353-379. MR 2017063 (2006d:20090a);MR 2077486 (2005h:20111);MR 2084488 (2005h:20112);MR 2133758 (2006e:20089);MR 2240704 (2008f:20122);MR 2240705 (2008e:20078)
- [L12]
- G. Lusztig, Hecke algebras with unequal parameters, CRM Monograph Ser.18, Amer. Math. Soc., 2003. MR 1974442 (2004k:20011)
- [L14]
- G. Lusztig, Characters of reductive groups over a finite field, Ann. Math. Studies 107, Princeton Univ. Press, 1984. MR 742472 (86j:20038)
- [L15]
- G. Lusztig, Unipotent characters of the even orthogonal groups over a finite field, Trans. Amer. Math. Soc. 272 (1982), 733-751. MR 662064 (83i:20035)
- [Os]
- V. Ostrik, A remark on character sheaves, Adv. in Math. 192 (2005), 218-224. MR 2122285 (2006j:20066)
- [Sh]
- T. Shoji, Character sheaves and almost characters of reductive groups, II, Adv. in Math. 111 (1995), 314-354. MR 1318530 (95k:20069)
- [S]
- N. Spaltenstein, Classes unipotentes et sous-groupes de Borel, Lecture Notes in Math. 946, Springer-Verlag, New York, 1982. MR 672610 (84a:14024)
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Additional Information:
G.
Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
DOI:
10.1090/S1088-4165-09-00348-3
PII:
S 1088-4165(09)00348-3
Received by editor(s):
July 17, 2008
Posted:
April 8, 2009
Additional Notes:
Supported in part by the National Science Foundation
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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