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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Format: | Article |
Language: | en_US |
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Mathematical Sciences Publishers
2016
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Online Access: | http://hdl.handle.net/1721.1/105144 https://orcid.org/0000-0001-9414-6892 |