Irreducible characters of the generalized symmetric group
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908680286371840 |
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| author | Gao, Huimin Jing, Naihuan |
| author_facet | Gao, Huimin Jing, Naihuan |
| contents | The paper studies how to compute irreducible characters of the generalized symmetric group $C_k\wr{S}_n$ by iterative algorithms. After reproving the Ariki-Koike version of the Murnaghan-Nakayama rule by vertex algebraic methods, we formulate a new iterative formula for characters of the generalized symmetric group. As applications, we find a numerical relation between the character values of $C_k\wr S_n$ and modular characters of $S_{kn}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreducible characters of the generalized symmetric group Gao, Huimin Jing, Naihuan Representation Theory Combinatorics Group Theory Primary: 20C08, Secondary: 05E10, 17B69 The paper studies how to compute irreducible characters of the generalized symmetric group $C_k\wr{S}_n$ by iterative algorithms. After reproving the Ariki-Koike version of the Murnaghan-Nakayama rule by vertex algebraic methods, we formulate a new iterative formula for characters of the generalized symmetric group. As applications, we find a numerical relation between the character values of $C_k\wr S_n$ and modular characters of $S_{kn}$. |
| title | Irreducible characters of the generalized symmetric group |
| topic | Representation Theory Combinatorics Group Theory Primary: 20C08, Secondary: 05E10, 17B69 |
| url | https://arxiv.org/abs/2408.04921 |