The spherical Hecke algebra for affine Kac-Moody groups I

被引：21

作者：

Braverman, Alexander ^{[1
]}

Kazhdan, David ^{[2
]}

机构：

[1] Brown Univ, Providence, RI 02912 USA

[2] Hebrew Univ Jerusalem, Jerusalem, Israel

来源：

ANNALS OF MATHEMATICS | 2011年 / 174卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.4007/annals.2011.174.3.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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).

引用

页码：1602 / 1641

页数：40

共 14 条

[1]

[Anonymous], 2002, Kac-Moody Groups, Their Flag Varieties and Their Representations

[2]

BRAVERMAN A, IWAHORIHECKE A UNPUB

[3] PURSUING THE DOUBLE AFFINE GRASSMANNIAN, I: TRANSVERSAL SLICES VIA INSTANTONS ON Ak-SINGULARITIES [J].