An Extension of the Foata Map to Standard Young Tableaux
Combinatorics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0611822,
title = {An Extension of the Foata Map to Standard Young Tableaux},
author = {Jim Haglund and Laura Stevens},
journal= {arXiv preprint arXiv:math/0611822},
year = {2007}
}
Comments
15 pages, 8 figures