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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: 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


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  • [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

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