Blocks of Ariki-Koike algebras and level-rank duality
Representation Theory
2025-03-27 v2 Combinatorics
Abstract
We study the blocks for Ariki-Koike algebras using a general notion of core for -partitions. We interpret the action of the affine symmetric group on the blocks in the context of level rank duality and study the orbits under this action.
Cite
@article{arxiv.2409.19355,
title = {Blocks of Ariki-Koike algebras and level-rank duality},
author = {David Declercq and Nicolas Jacon},
journal= {arXiv preprint arXiv:2409.19355},
year = {2025}
}