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arXiv · 1112.0969

A bar operator for involutions in a Coxeter group

G. Lusztig
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Abstract

In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry) and in particular it makes sense for an arbitrary Coxeter group.

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G. Lusztig. 2012-01-01. A bar operator for involutions in a Coxeter group. https://arxiv.org/abs/1112.0969

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