Séminaire Lotharingien de Combinatoire, B56c (2006), 15 pp.
Jim Haglund and Laura Stevens
An Extension of the Foata Map to Standard Young Tableaux
Abstract.
We define an inversion statistic on standard Young tableaux. We
prove that this statistic has the same distribution over
SYT(\lambda) as the major index statistic by exhibiting a bijection
on SYT(\lambda) in the spirit of the Foata map on permutations.
Received: July 17, 2006.
Revised: October 31, 2006.
Accepted: November 5, 2006.
Final version: November 11, 2006.
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