English

W-graph ideals

Representation Theory 2011-08-25 v2 Group Theory

Abstract

We introduce a concept of a W-graph ideal in a Coxeter group. The main goal of this paper is to describe how to construct a W-graph from a given W-graph ideal. The principal application of this idea is in type A, where it provides an algorithm for the construction of W-graphs for Specht modules.

Keywords

Cite

@article{arxiv.1012.1066,
  title  = {W-graph ideals},
  author = {Robert B. Howlett and Van M. Nguyen},
  journal= {arXiv preprint arXiv:1012.1066},
  year   = {2011}
}

Comments

25 pages

R2 v1 2026-06-21T16:53:49.566Z