Action of longest element on a Hecke algebra cell module
Representation Theory
2015-06-30 v3
Abstract
By a result of Mathas, the basis element T_{w_0} of the Hecke algebra of a finite Coxeter group acts in the canonical basis of a cell module as a permutation matrix times plus or minus a power of v. We generalize this result to the unequal parameter case,. We also show that the image of T_{w_0} in the corresponding asymptotic Hecke algebra is given by a simple formula.
Keywords
Cite
@article{arxiv.1406.0452,
title = {Action of longest element on a Hecke algebra cell module},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1406.0452},
year = {2015}
}
Comments
14 pages