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arXiv · 1301.4098

Iwahori-Matsumoto involution and linear Koszul Duality

Ivan Mirković·Simon Riche
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Abstract

We use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in previous papers of the authors 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.

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BibTeXRIS

Ivan Mirković, Simon Riche. 2014-09-02. Iwahori-Matsumoto involution and linear Koszul Duality. https://arxiv.org/abs/1301.4098

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