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Promotion and cyclic sieving on families of SSYT

Promotion and cyclic sieving on families of SSYT

We examine a few families of semistandard Young tableaux, for which we observe the cyclic sieving phenomenon under promotion.The first family we consider consists of stretched hook shapes, where we use the cocharge generating polynomial as CSP-polynomial.The second family we consider consists of skew shapes, consisting of rectangles.Again, the charge …