The spherical Hecke algebra for affine Kac-Moody groups I
成果类型：
Article
署名作者：
Braverman, Alexander; Kazhdan, David
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2011.174.3.5
发表日期：
2011
页码：
1602-1641
关键词：
摘要：
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 this algebra, 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).