Character sheaves II

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Character 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...

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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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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 1985

ISSN: 0001-8708

DOI: 10.1016/0001-8708(85)90064-7