An example of the derived geometrical Satake correspondence over integers
Representation Theory
2009-10-30 v1 Algebraic Geometry
Abstract
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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Cite
@article{arxiv.0910.5702,
title = {An example of the derived geometrical Satake correspondence over integers},
author = {Xinwen Zhu},
journal= {arXiv preprint arXiv:0910.5702},
year = {2009}
}
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16 pages