Characters of Ariki--Koike algebras
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929551467085824 |
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| author | Zhao, Deke |
| author_facet | Zhao, Deke |
| contents | In this paper, we prove the Regev formulae for the characters of the Ariki--Koike algebras by applying the Schur--Sergeev reciprocity between the quantum superalgebras and the Ariki--Koike algebras, which is a generalization of the formulas in (D. Zhao, Israel J. Math. 229 (2019): 67--83 ). As a corollary, we provide the Regev formulae for the characters of the complex reflection group of type $G(m,1,n)$, which is a generalization of the formulas in (A. Regev, Israel J. Math. 195 (2013): 31--35). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_15063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characters of Ariki--Koike algebras Zhao, Deke Representation Theory In this paper, we prove the Regev formulae for the characters of the Ariki--Koike algebras by applying the Schur--Sergeev reciprocity between the quantum superalgebras and the Ariki--Koike algebras, which is a generalization of the formulas in (D. Zhao, Israel J. Math. 229 (2019): 67--83 ). As a corollary, we provide the Regev formulae for the characters of the complex reflection group of type $G(m,1,n)$, which is a generalization of the formulas in (A. Regev, Israel J. Math. 195 (2013): 31--35). |
| title | Characters of Ariki--Koike algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2410.15063 |