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A `nice' bijection for a content formula for skew semistandard Young tableaux
The electronic journal of combinatorics, Tome 9 (2002)
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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'.
DOI : 10.37236/1635
Classification : 05E10
Mots-clés : semistandard tableaux, jeu de taquin, bijection proof 
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     author = {Martin Rubey},
     title = {A `nice' bijection for a content formula for skew semistandard {Young} tableaux},
     journal = {The electronic journal of combinatorics},
     year = {2002},
     volume = {9},
     doi = {10.37236/1635},
     zbl = {0995.05145},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1635/}
}
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Martin Rubey. A `nice' bijection for a content formula for skew semistandard Young tableaux. The electronic journal of combinatorics, Tome 9 (2002). doi: 10.37236/1635

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