Iwahori-Matsumoto Involution and Linear Koszul Duality

作者：Mirkovic Ivan; Riche Simon^*

来源：International Mathematics Research Notices, 2015, 2015(1): 150-196.

DOI：10.1093/imrn/rnt180

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.

• 出版日期2015