Character Sheaves on Disconnected Groups, Viii
نویسنده
چکیده
In this paper we continue the study of character sheaves on a reductive group. 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.
منابع مشابه
CHARACTER SHEAVES ON DISCONNECTED GROUPS , VIII 3 For any
Throughout this paper, G denotes a fixed, not necessarily connected, reductive algebraic group over an algebraically closed field k. This paper is a part of a series [L9] which attempts to develop a theory of character sheaves on G. In Section 36 we associate to any subset J of the set of simple reflections an algebra K over Q(v) (with v an indeterminate) defined using certain character sheaves...
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