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Journal Articles Documenta Mathematica Year : 2021

Cores of Ariki-Koike algebras

Nicolas Jacon
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Cédric Lecouvey

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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Dates and versions

hal-02416094 , version 1 (17-12-2019)
hal-02416094 , version 2 (09-01-2020)

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Nicolas Jacon, Cédric Lecouvey. Cores of Ariki-Koike algebras. Documenta Mathematica, 2021, ⟨10.48550/arXiv.1912.08461⟩. ⟨hal-02416094v2⟩
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