Schur elements for the Ariki-Koike algebra and applications
Representation Theory
2012-01-23 v1
Abstract
We study the Schur elements associated to the simple modules of the Ariki-Koike algebra. We first give a cancellation-free formula for them so that their factors can be easily read and programmed. We then study direct applications of this result. We also complete the determination of the canonical basic sets for cyclotomic Hecke algebras of type in characteristic 0.
Keywords
Cite
@article{arxiv.1105.5910,
title = {Schur elements for the Ariki-Koike algebra and applications},
author = {Maria Chlouveraki and Nicolas Jacon},
journal= {arXiv preprint arXiv:1105.5910},
year = {2012}
}
Comments
The paper contains the results of arXiv:1101.1465