Action of longest element on a Hecke algebra cell module

By a result of Mathas, the basis element T[subscript w0] of the Hecke algebra of a finite Coxeter group acts in the canonical basis of a cell module as a permutation matrix times plus or minus a power of v. We generalize this result to the unequal parameter case. We also show that the image of T[sub...

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Bibliographic Details
Main Author: Lusztig, George
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Mathematical Sciences Publishers 2016
Online Access:http://hdl.handle.net/1721.1/105144
https://orcid.org/0000-0001-9414-6892