منابع مشابه
3 Character Sheaves on Disconnected Groups , Iv
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 (beginning with [L10], [L11], [L12]) which attempts to develop a theory of character sheaves on G. The numbering of the sections and references continues that of the earlier Parts. Assume that k is an algebraic closure of a finite ...
متن کاملCharacter Sheaves on Disconnected Groups, Iv
We construct a basis for the space of invariant functions on the rational points of a possibly disconnected reductive group over a finite field, coming from intersection cohomology
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: 1986
ISSN: 0001-8708
DOI: 10.1016/0001-8708(86)90036-8