Modules for Yokonuma-type Hecke Algebras
This paper describes the module categories for a family of generic Hecke algebras, called Yokonuma-type Hecke algebras. Yokonuma-type Hecke algebras specialize both to the group algebras of the complex reflection groups G(r,1,n) and to the convolution algebras of (B′$^{\prime }$,B′$^{\prime }$)-double cosets in the group algebras of finite general linear groups, for certain subgroups B′$^{\prime }$ consisting of upper triangular matrices. In particular, complete sets of inequivalent, irreducible modules for semisimple specializations of Yokonuma-type Hecke algebras are constructed.