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On the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian
Vasserot, E.
HAL, hal-00019713 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00019713,
     author = {Vasserot, E.},
     title = {On the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00019713}
}

Vasserot, E. On the action of the dual group on the cohomology of perverse sheaves on the affine grassmannian. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00019713/