A bar operator for involutions in a Coxeter group
Representation Theory
2012-01-04 v3
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.
Keywords
Cite
@article{arxiv.1112.0969,
title = {A bar operator for involutions in a Coxeter group},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1112.0969},
year = {2012}
}
Comments
40 pages. This version has some additional material compared to the earlier one