Characters of Ariki--Koike algebras

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).