2016 / June Volume 11 No.2
A Class of Representations of Hecke Algebras
| Published Date |
2016 / June
|
|---|---|
| Title | A Class of Representations of Hecke Algebras |
| Author | |
| Keyword | |
| Download | |
| 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.
|
| AMS Subject Classification |
20C08.
|
| Received |
2015-05-02
|
| Accepted |
2015-05-01
|