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

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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.
AMS-TeX, 9 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/59108

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005020
 http://arxiv.org/abs/math/0005020

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arXiv