An Extension of the Foata Map to Standard Young Tableaux
classification
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keywords
statisticfoatalambdastandardtableauxyoungbijectiondefine
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We define an inversion statistic on standard Young tableaux. We prove that this statistic has the same distribution over SYT(\lambda) as the major index statistic by exhibiting a bijection on SYT(\lambda) in the spirit of the Foata map on permutations.
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