Tableau Stabilization and Rectangular Tableaux Fixed by Promotion Powers
Combinatorics
2020-03-12 v2
Abstract
We introduce tableau stabilization, a new phenomenon and statistic on Young tableaux based on jeu de taquin. We investigate bounds for tableau stabilization, the shape of stabilized tableaux, and tableau stabilization as a permutation statistic. We apply tableau stabilization to construct the sufficiently large rectangular tableaux fixed by powers of promotion, which were counted by Brendon Rhoades via the cyclic sieving phenomenon
Cite
@article{arxiv.1907.00105,
title = {Tableau Stabilization and Rectangular Tableaux Fixed by Promotion Powers},
author = {Connor Ahlbach},
journal= {arXiv preprint arXiv:1907.00105},
year = {2020}
}