Title: $P$-strict promotion and piecewise-linear rowmotion, with applications to tableaux of many flavors
Abstract: We define P-strict labelings as a generalization of semistandard Young tableaux and show that promotion on these objects is in equivariant bijection with a piecewise-linear toggle action on an associated poset, that in many nice cases is conjugate to rowmotion. We apply this result to flagged tableaux, Gelfand-Tsetlin patterns, and symplectic tableaux, obtaining new cyclic sieving and homomesy conjectures. We also show P-strict promotion can be equivalently defined using Bender-Knuth and jeu de taquin perspectives.
Publication Year: 2020
Publication Date: 2020-12-22
Language: en
Type: preprint
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