Character sheaves on disconnected groups, VIII

Details Character sheaves on disconnected groups, VIII Character sheaves on disconnected groups, VIII

2005-09-15

arxiv.org/abs/math/0509356v1

Mathematics

Representation Theory

42 pages

Scientific paper

In this paper we continue the study of character sheaves on a reductive group G. To each subset of the set of simple reflections in the Weyl group we associate an algebra of the same kind as an Iwahori-Hecke algebra with unequal parameters in terms of parabolic character sheaves. We also prove a Mackey type formula for character sheaves. We define a duality operation for character sheaves. We also prove a quasi-rationality property for character sheaves.

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