Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras
Representation Theory
2011-07-19 v2 Combinatorics
Abstract
In this note we are interested in labelling the irreducible representations of non-semisimple specialisations of Hecke algebras of complex reflection groups. We will use category O for the rational Cherednik algebra and the KZ functor together with elementary algebraic and combinatorial arguments to construct "canonical basic sets" in many cases. We will also show that the images of the standard modules through the KZ functor agree with the appropriate cell modules, whenever the Hecke algebra has a cellular structure.
Cite
@article{arxiv.1104.4070,
title = {Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras},
author = {Maria Chlouveraki and Iain Gordon and Stephen Griffeth},
journal= {arXiv preprint arXiv:1104.4070},
year = {2011}
}
Comments
Minor corrections to the revised version