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arXiv · 2410.15063

Characters of Ariki--Koike algebras

Deke Zhao
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Abstract

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).

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BibTeXRIS

Deke Zhao. 2024-10-19. Characters of Ariki--Koike algebras. https://doi.org/10.1016/j.jalgebra.2025.07.023.

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