Character Sheaves on Disconnected Groups, X
نویسنده
چکیده
We classify the unipotent character sheaves on a fixed connected component of a reductive algebraic group under a mild condition on the characteristic of the ground field.
منابع مشابه
Character Sheaves on Disconnected Groups, Vi
We define the character sheaves on a connected component of a reductive group and we show that the restriction functor takes a character sheaf to a direct sum of character sheaves.
متن کاملCharacter Sheaves on Disconnected Groups, Iii
In this paper we define and study generalized Green functions for possibly disconnected groups.
متن کاملCharacter Sheaves on Disconnected Groups, Ii
In this paper we establish the generalized Springer correspondence for possibly disconnected groups.
متن کاملCharacter Sheaves on Disconnected Groups, Viii
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 als...
متن کاملOn Disconnected Groups
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. The numbering of the sections and references continues that of the earlier Parts. Section 23 is a generalization of results in [L3, II,§7]. It is a preparation for ...
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تاریخ انتشار 2009