A Class of Representations of Hecke Algebras
نویسنده
چکیده
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 addition, results are obtained relating graph-theoretic properties of W digraphs (acyclicity, existence of sources or sinks, connectedness) to the structure of the corresponding H-module or its character.
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تاریخ انتشار 2015