Character sheaves on disconnected groups, IV

Author:
G. Lusztig

Journal:
Represent. Theory **8** (2004), 145-178

MSC (2000):
Primary 20G99

DOI:
https://doi.org/10.1090/S1088-4165-04-00240-7

Published electronically:
April 23, 2004

MathSciNet review:
2048590

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Abstract | References | Similar Articles | Additional Information

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

**[B1]**A. Borel,*Sous groupes commutatifs et torsion des groups de Lie compacts connexes*, Tohoku Math. J.**13**(1961), 216-240. MR**26:5094****[DM]**F. Digne and J. Michel,*Groupes réductifs non-connexes*, Ann. Sci.École Norm. Sup.**27**(1994), 345-406. MR**95f:20068****[L2]**G. Lusztig,*Intersection cohomology complexes on a reductive group*, Invent. Math.**75**(1984), 205-272. MR**86d:20050****[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**87b:20055**; MR**87m:20118a**; MR**87m:20118a**; MR**87m:20118b**; MR**87m:20118c****[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.**[SS]**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****[St]**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:
https://doi.org/10.1090/S1088-4165-04-00240-7

Received by editor(s):
December 17, 2003

Published electronically:
April 23, 2004

Additional Notes:
Supported in part by the National Science Foundation

Article copyright:
© Copyright 2004
American Mathematical Society