منابع مشابه
Parabolic Character Sheaves, I
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.
متن کاملCharacter Sheaves on Disconnected Groups, I
In this paper we begin the study of character sheaves on a not necessarily connected reductive algebraic group G. One of the themes of this paper is the construction of a decomposition of G into finitely many strata and of a family of local systems on each stratum.
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)90034-9