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 |
| _version_ | 1826188286416125952 |
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| author | Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George |
| author_sort | Lusztig, George |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T07:57:21Z |
| format | Article |
| id | mit-1721.1/105144 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T07:57:21Z |
| publishDate | 2016 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | mit-1721.1/1051442022-09-23T09:53:02Z Action of longest element on a Hecke algebra cell module Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George 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. National Science Foundation (U.S.) (Grant DMS-1303060) 2016-10-28T19:11:42Z 2016-10-28T19:11:42Z 2015-12 2015-03 Article http://purl.org/eprint/type/JournalArticle 0030-8730 0030-8730 http://hdl.handle.net/1721.1/105144 Makar, A. B. et al. “Formate Assay in Body Fluids: Application in Methanol Poisoning.” Biochemical Medicine 13.2 (1975): 117–126. https://orcid.org/0000-0001-9414-6892 en_US http://dx.doi.org/10.2140/pjm.2015.279.383 Pacific Journal of Mathematics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Mathematical Sciences Publishers arXiv |
| spellingShingle | Lusztig, George Action of longest element on a Hecke algebra cell module |
| title | Action of longest element on a Hecke algebra cell module |
| title_full | Action of longest element on a Hecke algebra cell module |
| title_fullStr | Action of longest element on a Hecke algebra cell module |
| title_full_unstemmed | Action of longest element on a Hecke algebra cell module |
| title_short | Action of longest element on a Hecke algebra cell module |
| title_sort | action of longest element on a hecke algebra cell module |
| url | http://hdl.handle.net/1721.1/105144 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge actionoflongestelementonaheckealgebracellmodule |