On the sweep map for fuss rational Dyck paths

    Advances in Applied Mathematics, pp. 1019982020.

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    EI

    Abstract:

    Abstract Our main contribution here is the discovery of a new family of standard Young tableaux T n k which are in bijection with the family D m , n of Rational Dyck paths for m = k × n ± 1 (the so called “Fuss” case). Using this family we give a new proof of the invertibility of the sweep map ...More

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