2016 / June Volume 11 No.2
A Class of Representations of Hecke Algebras
Published Date |
2016 / June
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Title | A Class of Representations of Hecke Algebras |
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Pagination | 301-342 |
Abstract | A type of directed multigraph called a W-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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AMS Subject Classification |
20C08.
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Received |
2015-05-02
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Accepted |
2015-05-01
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