Séminaire Lotharingien de Combinatoire, 85B.74 (2021), 12 pp.
Joseph Bernstein, Jessica Striker and Corey Vorland
P-strict Promotion and Piecewise-Linear Rowmotion, with Applications to Flagged Tableaux
Abstract.
In this paper, 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 cases is conjugate to rowmotion. We apply this result to obtain new results and conjectures on flagged tableaux. We also show that in certain cases, P-strict promotion can be equivalently defined using Bender-Knuth and jeu de taquin perspectives.
Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.
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