2000/05/02 by Éric Vasserot, E. Vasserot, Vasserot, E.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG
paper · pdf · doi:10.48550/arxiv.math/0005020
AMS-TeX, 9 pages
arxiv created 2000/05/02 · openalex publication_date 2000/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It was proved by Ginzburg and Mirkovic-Vilonen that the G(O)-equivariant perverse sheaves on the affine grassmannian of a connected reductive group G form a tensor category equivalent to the tensor category of finite dimensional representations of the dual group G^\vee. The proof use the Tannakian formalism. The purpose of this paper is to construct explicitely the action of G^\vee on the global cohomology of a perverse sheaf.