Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915008188776448 |
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| author | Haidar, Ali Yacobi, Oded |
| author_facet | Haidar, Ali Yacobi, Oded |
| contents | We prove that the Kazhdan-Lusztig basis of Specht modules is upper triangular with respect to all generalized Gelfand-Tsetlin bases constructed from any multiplicity-free tower of standard parabolic subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04432 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$ Haidar, Ali Yacobi, Oded Representation Theory Combinatorics We prove that the Kazhdan-Lusztig basis of Specht modules is upper triangular with respect to all generalized Gelfand-Tsetlin bases constructed from any multiplicity-free tower of standard parabolic subgroups. |
| title | Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$ |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2411.04432 |