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Character sheaves on disconnected groups, IV

Author(s): G. Lusztig
Journal: Represent. Theory 8 (2004), 145-178.
MSC (2000): Primary 20G99
Posted: April 23, 2004
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Abstract: We construct a basis for the space of invariant functions on the rational points of a possibly disconnected reductive group over a finite field, coming from intersection cohomology

References:

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A. Borel, Sous groupes commutatifs et torsion des groups de Lie compacts connexes, Tohoku Math. J. 13 (1961), 216-240. MR 26:5094

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G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), 205-272. MR 86d:20050

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[L9]
G. Lusztig, Character sheaves on disconnected groups, I, Represent. Theory 7 (2003), 374-403; II, Theory 8 (2004), 72-124; III, Represent. Theory 8 (2004), 125-144.

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T.A. Springer and R. Steinberg, Conjugacy classes, Seminar on algebraic groups and related finite groups, by A. Borel et al. LNM 131, Springer-Verlag, 1970, pp. 167-266. MR 42:3091

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R. Steinberg, Endomorphisms of linear algebraic groups, Memoirs Amer. Math. Soc. 80 (1968). MR 37:6288

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Additional Information:

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: gyuri@math.mit.edu

DOI: 10.1090/S1088-4165-04-00240-7
PII: S 1088-4165(04)00240-7
Received by editor(s): December 17, 2003
Posted: April 23, 2004
Additional Notes: Supported in part by the National Science Foundation
Copyright of article: Copyright 2004, American Mathematical Society

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