Parabolic Character Sheaves, I
نویسندگان
چکیده
We study a class of perverse sheaves on the variety of pairs (P, gUP ) where P runs through a conjugacy class of parabolics in a connected reductive group and gUP runs through G/UP . This is a generalization of the theory of character sheaves. 2000 Math. Subj. Class. 20G99.
منابع مشابه
Character 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...
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0.1. Let G be a connected reductive algebraic group over an algebraically closed field k. Let Z be the variety (of the same dimension as G) consisting of all pairs (P, gUP ) where P runs through a fixed conjugacy class P of parabolics of G and gUP ∈ G/UP (UP is the unipotent radical of P ). Now G acts on Z by h : (P, gUP ) 7→ (hPh , hghUhPh−1). In this paper we study a class of simple G-equivar...
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The main purpose of this paper is to define a class of simple perverse sheaves (called character sheaves) on certain ind-varieties associated to a loop group. This has applications to a geometric construction of certain affine Hecke algebras with unequal parameters, as will be shown elsewhere. 2000 Math. Subj. Class. 20G99.
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