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arXiv · 1312.3237

Hecke algebras and involutions in Coxeter groups

G. Lusztig·D. A. Vogan Jr
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Abstract

Let $W$ be a Coxeter group and let $M$ be the free $Z[v,v^{-1}]$-module with basis indexed by the involutions of $W$. We show how recent results of Elias and Williamson on Soergel bimodules can be used to give an alternative definition of an action of the Hecke algebra of $W$ on $M$.

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BibTeXRIS

G. Lusztig, D. A. Vogan Jr. 2013-12-11. Hecke algebras and involutions in Coxeter groups. https://arxiv.org/abs/1312.3237

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