Promotion and Cyclic Sieving on Rectangular $\delta$-Semistandard Tableaux

Tair Akhmejanov, Balázs Elek

Let $\delta =({\delta }_1,\dots ,{\delta }_n)$ be a string of letters $h$ and $v$. We define a Young tableau to be $\delta$-semistandard if the entries are weakly increasing along rows and columns, and the e…