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On the Action of the Dual Group on the Cohomology of Perverse Sheaves on the Affine Grassmannian

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Compositio Mathematica

Abstract

It was proved by Ginzburg, Mirkovic and 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 ∧. In this paper we construct explicitly the action of G ∧ on the global cohomology of a perverse sheaf.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Cergy-Pontoise, 2 Av. A. Chauvin, 95302, Cergy-Pontoise Cedex, France

    E. Vasserot

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  1. E. Vasserot
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Vasserot, E. On the Action of the Dual Group on the Cohomology of Perverse Sheaves on the Affine Grassmannian. Compositio Mathematica 131, 51–60 (2002). https://doi.org/10.1023/A:1014743615104

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  • DOI: https://doi.org/10.1023/A:1014743615104

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