Ascending subsequences of permutations and the shapes of tableaux (Q1186121)

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scientific article; zbMATH DE number 36231
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English
Ascending subsequences of permutations and the shapes of tableaux
scientific article; zbMATH DE number 36231

    Statements

    Ascending subsequences of permutations and the shapes of tableaux (English)
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    28 June 1992
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    A new identity is found that relates certain generating functions for: (i) standard Young tableaux of size \(n\) with \(\leq k\) columns and (ii) permutations of length \(n\) without increasing subsequences of length \(>k\).
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    identity
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    generating functions
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    Young tableaux
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    permutations
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