Cores of Ariki-Koike algebras
Combinatorics
2020-01-14 v2 Representation Theory
Abstract
We study a natural generalization of the notion of cores for l-partitions attached with a multi-charge s Z^l : the (e, s)-cores. We rely them both to the combinatorics and the notion of weight defined by Fayers. Next we study applications in the context of the block theory for Ariki-Koike algebras.
Cite
@article{arxiv.1912.08461,
title = {Cores of Ariki-Koike algebras},
author = {Nicolas Jacon and Cédric Lecouvey},
journal= {arXiv preprint arXiv:1912.08461},
year = {2020}
}