An Extension of the Foata Map to Standard Young Tableaux

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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 bijection on SYT(λ) in the spirit of the Foata map on permutations.
15 pages, 8 figures

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Combinatorics, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/119434

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611822
 http://arxiv.org/abs/math/0611822
 Sem. Loth. Comb. 56 (2006), Article B56C

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arXiv