Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866912287233671168 |
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| author | Nakasuji, Maki Naruse, Hiroshi |
| author_facet | Nakasuji, Maki Naruse, Hiroshi |
| contents | We generalize the definition of Yang-Baxter basis of type $A$ Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of $p$-adic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_04485 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract) Nakasuji, Maki Naruse, Hiroshi Representation Theory 20F55, 20C08, 22E50, 16T25 We generalize the definition of Yang-Baxter basis of type $A$ Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of $p$-adic groups. |
| title | Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract) |
| topic | Representation Theory 20F55, 20C08, 22E50, 16T25 |
| url | https://arxiv.org/abs/1512.04485 |