W-graph ideals II
Representation Theory
2011-08-25 v1 Group Theory
Abstract
In "W-graph ideals" (Robert B. Howlett and Van Minh Nguyen) the concept of a W-graph ideal in a Coxeter group was introduced, and it was shown how a W-graph can be constructed from a given W-graph ideal. In this paper, we describe a class of W-graph ideals from which certain Kazhdan-Lusztig left cells arise. The result justifies the algorithm as illustrated in "W-graph ideals" for the construction of W-graphs for Specht modules for the Hecke algebra of type A.
Keywords
Cite
@article{arxiv.1108.4750,
title = {W-graph ideals II},
author = {Van Minh Nguyen},
journal= {arXiv preprint arXiv:1108.4750},
year = {2011}
}
Comments
16 pages