paper

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

arXiv:math/0011099

Abstract

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

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