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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142329We 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 correctedRepresentation TheoryQuantum Algebra20C08, 20C20 (Primary) 17B37 (Secondary)The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui)text