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{\bf Steven Pon and Qiang Wang}
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{\bf Promotion and Evacuation on Standard Young Tableaux of Rectangle and Staircase Shape}
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(Dual-)promotion and (dual-)evacuation are bijections on
$SYT(\lambda)$ for any partition $\lambda$. Let $c^r$ denote the
rectangular partition $(c,\ldots,c)$ of height $r$, and let $sc_k$
($k>2$) denote the staircase partition $(k,k-1,\ldots,1)$.  We
demonstrate a promotion- and evacuation-preserving embedding of
$SYT(sc_k)$ into $SYT(k^{k+1})$.  We hope that this result, together
with results by Rhoades on rectangular tableaux, can help to
demonstrate the cyclic sieving phenomenon of promotion action on
$SYT(sc_k)$.



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