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arXiv · 2409.19355

Blocks of Ariki-Koike algebras and level-rank duality

David Declercq·Nicolas Jacon
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Abstract

We study the blocks for Ariki-Koike algebras using a general notion of core for $l$-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.

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David Declercq, Nicolas Jacon. 2024-09-28. Blocks of Ariki-Koike algebras and level-rank duality. https://arxiv.org/abs/2409.19355

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