English

Modules for Yokonuma-type Hecke algebras

Representation Theory 2016-11-22 v2

Abstract

This paper describes the module categories for a family of generic Hecke algebras that specialize to the complex reflection groups G(r,1,n) and to the certain endomorphism rings of permutation characters of finite general linear groups. In particular, complete sets of inequivalent, irreducible modules for semisimple specializations of these algebras are constructed.

Keywords

Cite

@article{arxiv.1512.01820,
  title  = {Modules for Yokonuma-type Hecke algebras},
  author = {Ojas Dave and J. Matthew Douglass},
  journal= {arXiv preprint arXiv:1512.01820},
  year   = {2016}
}

Comments

24 pages; Introduction reworded and section 4 revised in response to referee comments

R2 v1 2026-06-22T12:02:37.525Z