Blocks of Ariki-Koike algebras and level-rank duality - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

Blocks of Ariki-Koike algebras and level-rank duality

Nicolas Jacon
  • Function : Author
  • PersonId : 1418400
David Declercq
  • Function : Author
  • PersonId : 1418401

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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Dates and versions

hal-04708143 , version 1 (24-09-2024)

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  • HAL Id : hal-04708143 , version 1

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Nicolas Jacon, David Declercq. Blocks of Ariki-Koike algebras and level-rank duality. 2024. ⟨hal-04708143⟩
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