A 'Nice' Bijection for a Content Formula for Skew Semistandard Young Tableaux

Martin Rubey


Based on Sch├╝tzenberger'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'.

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