Iwahori-Matsumoto Involution and Linear Koszul Duality

被引：6

作者：

Mirkovic, Ivan ^{[1
]}

Riche, Simon ^{[2
]}

机构：

[1] Univ Massachusetts, Amherst, MA 01003 USA

[2] Univ Blaise Pascal Clermont Ferrand II, CNRS, UMR 6620, Campus Univ Cezeaux, F-63177 Aubiere, France

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 01期

基金：

美国国家科学基金会;

关键词：

FOURIER-TRANSFORM;

D O I：

10.1093/imrn/rnt180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras, to give a geometric realization of the Iwahori-Matsumoto involution of affine Hecke algebras. More generally, we prove that linear Koszul duality is compatible with convolution in a general context related to convolution algebras.

引用

页码：150 / 196

页数：47

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