The spherical Hecke algebra for affine Kac-Moody groups I

By Alexander Braverman, David Kazhdan. 2008

47 citations recorded by the source corpus.

We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalization of the Satake isomorphism for these algebras, relating it to integrable representations of the Langlands dual affine Kac-Moody group. In the next publication we shall use these results to define and study the notion of Hecke eigenfunction for the group $G_{\aff}$

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a61955786668d6ef7ee5a1ebd46ff559f79c9bb5

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In Geometry and Topology

1. M. Patnaik
2. Alexander Braverman
3. David Kazhdan
4. Y. Sakellaridis

In Mathematical Physics

1. M. Patnaik
2. Alexander Braverman
3. David Kazhdan
4. Y. Sakellaridis

Citations in the corpus

• Iwahori–Hecke algebras for p-adic loop groups (2014, methodology): “3 having been generalized already to the affine setting by the first two authors in [3].”