W-graph ideals II

Details W-graph ideals II W-graph ideals II

2011-08-24

arxiv.org/abs/1108.4750v1

Mathematics

Representation Theory

16 pages

Scientific paper

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.

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