Free action and cyclic sieving on skew semi-standard Young tableaux

Abstract

In this note, we provide a short proof of Theorem 3.3 in the paper titled Crystals, semistandard tableaux and cyclic sieving phenomenon, by Y.-T.~Oh and E.~Park, which concerns a cyclic sieving phenomenon on semi-standard Young tableaux. We also extend the result to skew shapes.

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