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Character sheaves on disconnected groups. IV. (English) Zbl 1075.20013
[For part III cf. ibid. 8, 125-144 (2004; Zbl 1074.20031).]
Summary: 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.

MSC:
20G05 Representation theory for linear algebraic groups
20G10 Cohomology theory for linear algebraic groups
14L30 Group actions on varieties or schemes (quotients)
20G40 Linear algebraic groups over finite fields
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