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- W4385518062 abstract "Promotion and rowmotion are intriguing actions in dynamical algebraic combinatorics which have inspired much work in recent years. In this paper, we study P-strict labelings of a finite, graded poset P of rank n and labels at most q, which generalize semistandard Young tableaux with n rows and entries at most q, under promotion. These P-strict labelings are in equivariant bijection with Q-partitions under rowmotion, where Q equals the product of P and a chain of q−n−1 elements. We study the case where P equals the product of chains in detail, yielding new homomesy and order results in the realm of tableaux and beyond. Furthermore, we apply the bijection to the cases in which P is a minuscule poset and when P is the three element V poset. Finally, we give resonance results for promotion on P-strict labelings and rowmotion on Q-partitions." @default.
- W4385518062 created "2023-08-04" @default.
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- W4385518062 date "2024-01-01" @default.
- W4385518062 modified "2023-10-09" @default.
- W4385518062 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e1454 altimg=si151.svg><mml:mi>P</mml:mi></mml:math>-strict promotion and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e1459 altimg=si19.svg><mml:mi>Q</mml:mi></mml:math>-partition rowmotion: The graded case" @default.
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- W4385518062 doi "https://doi.org/10.1016/j.ejc.2023.103776" @default.
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