Characters of Ariki--Koike algebras
Representation Theory
2024-10-22 v1
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 , which is a generalization of the formulas in (A. Regev, Israel J. Math. 195 (2013): 31--35).
Keywords
Cite
@article{arxiv.2410.15063,
title = {Characters of Ariki--Koike algebras},
author = {Deke Zhao},
journal= {arXiv preprint arXiv:2410.15063},
year = {2024}
}
Comments
13 pages, comments, suggestions and corrections are welcome