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

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

2000-11-15

arxiv.org/abs/math/0011099v2

Electronic Journal of Combinatorics 9 (2002), #R18

Mathematics

Combinatorics

13 pages, LaTeX

Scientific paper

Based on Sch\"utzenberger'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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