On the Mullineux involution for Ariki-Koike algebras
Representation Theory
2008-09-15 v3 Combinatorics
Abstract
This note is concerned with a natural generalization of the Mullineux involution for Ariki-Koike algebras. Using a result of Fayers together with previous results by the authors, we give an efficient algorithm for computing this generalized Mullineux involution. Our algorithm notably does not involve the determination of paths in affine crystals.
Cite
@article{arxiv.0804.0478,
title = {On the Mullineux involution for Ariki-Koike algebras},
author = {Nicolas Jacon and Cédric Lecouvey},
journal= {arXiv preprint arXiv:0804.0478},
year = {2008}
}
Comments
17 pages