On the Satake Isomorphism

Abstract

In this paper, we present an expository treatment of the Satake transform. This gives an isomorphism between the spherical Hecke algebra of a split reductive group G over a local field and the representation ring of the dual group Ĝ. If one wants to use the Satake isomorphism to convert information on eigenvalues for the Hecke algebra to local L-functions… (More)

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Cite this paper

@inproceedings{Gross2005OnTS, title={On the Satake Isomorphism}, author={B. Gross}, year={2005} }