Character sheaves on disconnected groups, VIII

Research paper by G. Lusztig

Indexed on: 15 Sep '05Published on: 15 Sep '05Published in: Mathematics - Representation Theory


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.