A generalized major index statistic on tableaux
Combinatorics
2017-09-19 v1
Abstract
We extend the family of statistics maj_d, introduced for permutations by Kadell (1985), to standard Young tableaux. At one extreme, we have the traditional Major index statistic maj_1 for tableaux. At the other end, maj_n = inv, the inversion statistic introduced by Haglund and Stevens (2006). This is answers a question of Assaf (2008), who defined maj_2 and maj_3 for tableaux.
Cite
@article{arxiv.1709.05996,
title = {A generalized major index statistic on tableaux},
author = {James Haglund and Emily Sergel},
journal= {arXiv preprint arXiv:1709.05996},
year = {2017}
}