Action of longest element on a Hecke algebra cell module
Author(s)
Lusztig, George
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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[subscript w0] in the corresponding asymptotic Hecke algebra is given by a simple formula.
Date issued
2015-12Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Pacific Journal of Mathematics
Publisher
Mathematical Sciences Publishers
Citation
Makar, A. B. et al. “Formate Assay in Body Fluids: Application in Methanol Poisoning.” Biochemical Medicine 13.2 (1975): 117–126.
Version: Author's final manuscript
ISSN
0030-8730
0030-8730