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On residue symbols and the Mullineux conjecture - MaRDI portal

On residue symbols and the Mullineux conjecture (Q1386525)

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scientific article; zbMATH DE number 1154678
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On residue symbols and the Mullineux conjecture
scientific article; zbMATH DE number 1154678

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    On residue symbols and the Mullineux conjecture (English)
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    1 February 1999
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    This paper is concerned with properties of the Mullineux symbol of a \(p\)-regular partition (i.e., a partition where no part is repeated more than \((p-1)\) times). This symbol plays a role in the \(p\)-modular (\(p\) prime) representation theory of the symmetric group. The residue symbol is introduced as a variant of the Mullineux symbol. This notion leads to a short combinatorial proof of the Mullineux conjecture.
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    symmetric group
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    modular representation
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    Mullineux conjecture
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