Minimal Orbits of Promotion

Kevin Purbhoo, Donguk Rhee

Abstract


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.

 

Keywords


Young tableau; Promotion; Rectification algorithm; Cyclic sieving

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