Representations of Yokonuma--Hecke algebras
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914926969225216 |
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| author | Liwski, Emiliano Mereb, Martín |
| author_facet | Liwski, Emiliano Mereb, Martín |
| contents | The Iwahori--Hecke and Yokonuma--Hecke algebras have played crucial roles in algebraic combinatorics and the representation theory of finite groups. In this work, we use classical results from representation theory to compute the character values of the Yokonuma--Hecke algebra at $w_{0}$ and $w_{0}^{2}$, where $w_{0}$ denotes the element of maximal length in the corresponding Weyl group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Representations of Yokonuma--Hecke algebras Liwski, Emiliano Mereb, Martín Representation Theory 20C08 The Iwahori--Hecke and Yokonuma--Hecke algebras have played crucial roles in algebraic combinatorics and the representation theory of finite groups. In this work, we use classical results from representation theory to compute the character values of the Yokonuma--Hecke algebra at $w_{0}$ and $w_{0}^{2}$, where $w_{0}$ denotes the element of maximal length in the corresponding Weyl group. |
| title | Representations of Yokonuma--Hecke algebras |
| topic | Representation Theory 20C08 |
| url | https://arxiv.org/abs/2408.15405 |