Generalized Markov traces and Jucys-Murphy elements
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915411139756032 |
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| author | Tolmachov, Kostiantyn Zhylinskyi, Heorhii |
| author_facet | Tolmachov, Kostiantyn Zhylinskyi, Heorhii |
| contents | We give a simple construction of Markov traces for Iwahori-Hecke algebras associated with infinite series of crystallographic Coxeter groups. In types B and D it is new, and generalizes a known construction in type A employing symmetric polynomials in multiplicative Jucys-Murphy elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Markov traces and Jucys-Murphy elements Tolmachov, Kostiantyn Zhylinskyi, Heorhii Representation Theory We give a simple construction of Markov traces for Iwahori-Hecke algebras associated with infinite series of crystallographic Coxeter groups. In types B and D it is new, and generalizes a known construction in type A employing symmetric polynomials in multiplicative Jucys-Murphy elements. |
| title | Generalized Markov traces and Jucys-Murphy elements |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2507.19896 |