The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui)

Abstract

We derive a parameterization of simple modules for the cyclotomic Hecke algebras of type $G(r,p,n)$ over field of any (coprime to $p$) characteristic. We give explicit formulas for the number of simple modules over these cyclotomic Hecke algebras.

An appendix by Xiaoyi Cui was included. Some typos were corrected