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Higher Specht polynomials for the symmetric group - MaRDI portal

Higher Specht polynomials for the symmetric group (Q1312064)

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scientific article; zbMATH DE number 488106
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Higher Specht polynomials for the symmetric group
scientific article; zbMATH DE number 488106

    Statements

    Higher Specht polynomials for the symmetric group (English)
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    23 April 1995
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    Let \(H\) be the regular \(S_ n\) module over the rationals. The authors of the announcement under review sketch a combinatorial algorithm for constructing a basis of \(H\) using pairs of standard Young tableaux. This construction allows them to construct bases of the irreducible components of \(H\).
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    Young diagrams
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    Schur functions
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    regular \(S_ n\) module
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    combinatorial algorithm
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    standard Young tableaux
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    bases
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    irreducible components
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