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Cores of Ariki-Koike algebras - MaRDI portal

Cores of Ariki-Koike algebras (Q2658464)

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Cores of Ariki-Koike algebras
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    Cores of Ariki-Koike algebras (English)
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    22 March 2021
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    Summary: We study a natural generalization of the notion of cores for \(l\)-partitions attached with a multicharge \(\mathbf{s}\in \mathbb{Z}^l\): the \((e,\mathbf{s})\)-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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    Hecke algebras
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    decomposition matrix
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    block
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