On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
Representation Theory
2007-05-23 v3
Abstract
Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of unity. Moreover, we determine the parametrization of this set and we give the consequences of these results on the representation theory of Ariki-Koike algebras.
Keywords
Cite
@article{arxiv.math/0311018,
title = {On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity},
author = {Nicolas Jacon},
journal= {arXiv preprint arXiv:math/0311018},
year = {2007}
}
Comments
37 pages