Cyclic Sieving for a Family of Semistandard Tableaux

Joshua Basman Monterrubio, Graeme Henrickson, Anna Stokke

We give a new cyclic sieving phenomenon for semistandard Young tableaux $SSYT(\lambda ,\mu )$ of shape $\lambda =(m,n^b)$ and content $\mu$, a $(b+2)$-tuple. We prove that $(SSYT(λ,μ),\langle \partia…