English

Schur elements and basic sets for cyclotomic Hecke algebras

Representation Theory 2009-10-27 v1

Abstract

We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for certain complex reflection groups. This includes the case of finite Weyl groups for all choices of parameters (in characteristic 0).

Keywords

Cite

@article{arxiv.0910.4931,
  title  = {Schur elements and basic sets for cyclotomic Hecke algebras},
  author = {Maria Chlouveraki and Nicolas Jacon},
  journal= {arXiv preprint arXiv:0910.4931},
  year   = {2009}
}
R2 v1 2026-06-21T14:03:26.388Z