Character sheaves III
نویسندگان
چکیده
منابع مشابه
Parabolic Character Sheaves, Iii
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.
متن کاملCharacter Sheaves on Disconnected Groups, Iii
In this paper we define and study generalized Green functions for possibly disconnected groups.
متن کاملParabolic Character Sheaves
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...
متن کاملCharacter Sheaves , Ii 3
Let G be a connected reductive algebraic group over an algebraically closed field k. Let Z be the algebraic variety consisting of all triples (P, P , UP ′gUP ) where P, P ′ run through some fixed conjugacy classes of parabolics in G and g is an element of G that conjugates P to a parabolic in a fixed ”good” relative position y with P ′ (here UP , UP ′ are the unipotent radicals of P, P ). The v...
متن کاملNotes on Character Sheaves
In the first section we study a functor of Bezrukavnikov, Finkelberg and Ostrik defined on character sheaves; we compute it in a Grothendieck group taking weights into account. In the second section we enlarge the class of character sheaves to a larger class of simple perverse sheaves which behaves well with respect to tensor product (unlike the character sheaves themselves). 2000 Math. Subj. C...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1985
ISSN: 0001-8708
DOI: 10.1016/0001-8708(85)90065-9