On the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian

dc.creatorVasserot, E.
dc.date2000-05-02
dc.date.accessioned2026-07-07T04:34:57Z
dc.date.available2026-07-07T04:34:57Z
dc.descriptionIt 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.
dc.descriptionAMS-TeX, 9 pages
dc.identifierhttps://arxiv.org/abs/math/0005020
dc.identifierhttp://arxiv.org/abs/math/0005020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59108
dc.subjectAlgebraic Geometry
dc.titleOn the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian
dc.typetext

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