W-graph ideals

Mathematics – Representation Theory

Scientific paper

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25 pages

Scientific paper

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.

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