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A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters - MaRDI portal

A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters (Q2380211)

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A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters
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    A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters (English)
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    26 March 2010
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    Summary: We make explicit a stability property for Kronecker coefficients that is implicit in a theorem of \textit{Y. Dvir} [``On the Kronecker product of \(S_n\) characters,'' J. Algebra 154, No.\,1, 125--140 (1993; Zbl 0848.20006)]. Even in the simplest nontrivial case this property was overlooked despite of the work of several authors. As applications we give a new vanishing result and a new formula for some Kronecker coefficients.
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    stability property
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    Kronecker coefficient
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