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20012006
most citedCombinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form

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math.CO2006

An Extension of the Foata Map to Standard Young Tableaux

Jim Haglund, Laura Stevens

We define an inversion statistic on standard Young tableaux. We prove that this statistic has the same distribution over SYT(λ) as the major index statistic by exhibiting a bijecti…