Cores of Ariki-Koike algebras

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.
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https://hal.archives-ouvertes.fr/hal-02416094
Contributor : Nicolas Jacon <>
Submitted on : Thursday, January 9, 2020 - 11:22:54 AM
Last modification on : Thursday, January 23, 2020 - 9:06:32 AM

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  • HAL Id : hal-02416094, version 2
  • ARXIV : 1912.08461

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Nicolas Jacon, Cédric Lecouvey. Cores of Ariki-Koike algebras. 2020. ⟨hal-02416094v2⟩

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