A Class of Representations of Hecke Algebras

Abstract

A type of directed multigraph called aW -digraph is introduced to model the structure of certain representations of Hecke algebras, including those constructed by Lusztig and Vogan from involutions in a Weyl group. Building on results of Lusztig, a complete characterization of W -digraphs is given in terms of subdigraphs for dihedral parabolic subgroups. In… (More)

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