A `nice' bijection for a content formula for skew semistandard Young tableaux

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Based on Schützenberger's evacuation and a modification of jeu de taquin, we give a bijective proof of an identity connecting the generating function of reverse semistandard Young tableaux with bounded entries with the generating function of all semistandard Young tableaux. This solves Exercise 7.102 b of Richard Stanley's book `Enumerative Combinatorics 2'.
13 pages, LaTeX

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Combinatorics, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/60341

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011099
 http://arxiv.org/abs/math/0011099
 Electronic Journal of Combinatorics 9 (2002), #R18

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arXiv