An example of the derived geometrical Satake correspondence over integers

Details An example of the derived geometrical Satake correspondence over integers An example of the derived geometrical Satake correspondence over integers

2009-10-29

arxiv.org/abs/0910.5702v1

Mathematics

Representation Theory

16 pages

Scientific paper

Let G^\vee be a complex simple algebraic group. We describe certain morphisms of G^\vee(\calO)-equivariant complexes of sheaves on the affine Grassmannian \Gr of G^\vee in terms of certain morphisms of G-equivariant coherent sheaves on \frakg, where G is the Langlands dual group of G^\vee and \frakg is its Lie algebra. This can be regarded as an example of the derived Satake correspondence.

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