Action of longest element on a Hecke algebra cell module
Name
Lusztig_Action of longest.pdf
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156.91 KB
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Adobe PDF
Checksum (MD5)
7878201ece8fc99440fc8c14fc34a692
Author(s)
Lusztig, George
Date Issued
December 2015
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.2140/pjm.2015.279.383
