On the lowest two-sided cell in affine Weyl groups
表示论
2008-09-23 v4
摘要
Bremke and Xi determined the lowest two-sided cell for affine Weyl groups with unequal parameters and showed that it consists of at most |W_{0}| left cells where W_{0} is the associated finite Weyl group. We prove that this bound is exact. Previously, this was known in the equal parameter case and when the parameters were coming from a graph automorphism. Our argument uniformly works for any choice of parameters.
引用
@article{arxiv.math/0703764,
title = {On the lowest two-sided cell in affine Weyl groups},
author = {Jeremie Guilhot},
journal= {arXiv preprint arXiv:math/0703764},
year = {2008}
}
备注
18 pages, 1 figure, final version (minor changes). To appear in Representation theory