Minimal Orbits of Promotion

[摘要] We give a bijection between the symmetric group $S_n$, and the set of standard Young tableaux of rectangular shape $m^n$, $m \geq n$, that have order $n$ under jeu de taquin promotion.

[学科分类] 离散数学和组合数学

[关键词] Young tableau;Promotion;Rectification algorithm;Cyclic sieving