Character sheaves on disconnected groups, IV

Details Character sheaves on disconnected groups, IV Character sheaves on disconnected groups, IV

2003-12-17

arxiv.org/abs/math/0312338v1

Mathematics

Representation Theory

37 pages

Scientific paper

Let G be a possibly disconnected reductive group over a finite field with
Frobenius map F. The main result of this paper is that the characteristic
functions af "admissible complexes" A on G such that F^*A is isomorphic to A
form a basis of the space of functions on G^F that are constant on
G^{0F}-conjugacy classes.

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