Character sheaves on disconnected groups, IV

Lusztig, G.

doi:10.1090/S1088-4165-04-00240-7

Character sheaves on disconnected groups, IV
HTML articles powered by AMS MathViewer

by G. Lusztig

Represent. Theory 8 (2004), 145-178

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

Published electronically: April 23, 2004

PDF | Request permission

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

Armand Borel, Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes, Tohoku Math. J. (2) 13 (1961), 216–240 (French). MR 147579, DOI 10.2748/tmj/1178244298
François Digne and Jean Michel, Groupes réductifs non connexes, Ann. Sci. École Norm. Sup. (4) 27 (1994), no. 3, 345–406 (French, with English and French summaries). MR 1272294, DOI 10.24033/asens.1696
G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), no. 2, 205–272. MR 732546, DOI 10.1007/BF01388564
George Lusztig, Character sheaves. I, Adv. in Math. 56 (1985), no. 3, 193–237. MR 792706, DOI 10.1016/0001-8708(85)90034-9

Character sheaves on disconnected groups, I

7

8

T. A. Springer and R. Steinberg, Conjugacy classes, Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, N.J., 1968/69) Lecture Notes in Mathematics, Vol. 131, Springer, Berlin, 1970, pp. 167–266. MR 0268192, DOI 10.1007/BFb0081546
Robert Steinberg, Endomorphisms of linear algebraic groups, Memoirs of the American Mathematical Society, No. 80, American Mathematical Society, Providence, R.I., 1968. MR 0230728, DOI 10.1090/memo/0080