W-graph ideals

JOURNAL OF ALGEBRA

卷:361

Article

Howlett, Robert B.¹  Van Minh Nguyen¹ 

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

关键词: Coxeter group;    Hecke algebras;    W-graph;    Kahzdan-Lusztig polynomials;    Specht modules;   

DOI  :  10.1016/j.jalgebra.2012.03.027

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free