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A class of perverse sheaves on a partial flag manifold
Author:
G. Lusztig
Journal:
Represent. Theory 11 (2007), 122-171
MSC (2000):
Primary 20G99
Posted:
August 29, 2007
MathSciNet review:
2336607
Full-text PDF Free Access
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Abstract: We introduce a class of perverse sheaves on a partial flag manifold of a connected reductive group  defined over a finite field which are equivariant for the action of the group of rational points of  . The definition of this class is similar to the definition of parabolic character sheaves.
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- R. Bédard, On the Brauer liftings for modular representations, J. Algebra 93 (1985), 332-353. MR 786758 (87a:20041)
- [BBD]
- A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque 100 (1982), 5-171. MR 751966 (86g:32015)
- [Bo]
- A. Borel, Linear algebraic groups, Benjamin, New York, Amsterdam, 1969. MR 0251042 (40:4273)
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- P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. Math. 103 (1976), 103-161. MR 0393266 (52:14076)
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- G. Lusztig, Characters of reductive groups over a finite field, Ann. Math. Studies 107, Princeton U. Press, 1984. MR 742472 (86j:20038)
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- G. Lusztig, Character sheaves I, Adv. Math. 56 (1985), 193-237; II, Adv. Math. 57 (1985), 226-265. MR 792706 (87b:20055); MR 0806210 (87m:20118a)
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- G. Lusztig, Green functions and character sheaves, Ann. Math. 131 (1990), 355-408. MR 1043271 (91c:20054)
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- G. Lusztig, Parabolic character sheaves I, II, Moscow Math. J. 4 (2004), 153-179, 869-896. MR 2074987 (2006d:20091a); MR 2124170 (2006d:20091b)
- [L6]
- G. Lusztig, Character sheaves on disconnected groups, VI, Represent. Theory (electronic) 8 (2004), 377-413. MR 2084488 (2005h:20112)
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Additional Information
G. Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
DOI:
http://dx.doi.org/10.1090/S1088-4165-07-00320-2
PII:
S 1088-4165(07)00320-2
Received by editor(s):
December 19, 2006
Posted:
August 29, 2007
Additional Notes:
The author was supported in part by the National Science Foundation
Article copyright:
© Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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