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Irreducible representations of finite spin groups
Author(s):
G.
Lusztig
Journal:
Represent. Theory
12
(2008),
1-36.
MSC (2000):
Primary 20G99
Posted:
January 30, 2008
MathSciNet review:
2375594
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Abstract:
In this paper we present a computation (done by the author in 1983) which yields a multiplicity one statement for the irreducible representations of a finite spin group which, in turn, yields the classification of the irreducible representations of a finite spin group.
References:
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- [DL]
- P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. Math. 103 (1976), 103-161. MR 0393266 (52:14076)
- [L1]
- G. Lusztig, Irreducible representations of finite classical groups, Inv. Math. 43 (1977), 125-175. MR 0463275 (57:3228)
- [L2]
- G. Lusztig, Characters of reductive groups over a finite field, Proc. Int. Congr. Math., Warsaw, 1983, pp. 877-880. MR 804741 (86i:20062)
- [L3]
- G. Lusztig, Characters of reductive groups over a finite field, Ann. Math. Studies, vol. 107, Princeton Univ. Press, 1984. MR 742472 (86j:20038)
- [L4]
- G. Lusztig, Intersection cohomology complexes on a reductive group, Inv. Math. 75 (1984), 205-272. MR 732546 (86d:20050)
- [L5]
- G. Lusztig, On representations of reductive groups with disconnected center, Astérisque 168 (1988), 157-166. MR 1021495 (90j:20083)
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Additional Information:
G.
Lusztig
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
DOI:
10.1090/S1088-4165-08-00324-5
PII:
S 1088-4165(08)00324-5
Received by editor(s):
February 27, 2007
Received by editor(s) in revised form:
December 26, 2007
Posted:
January 30, 2008
Additional Notes:
The author was supported in part by the National Science Foundation
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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