Homomesy in products of three chains and multidimensional recombination

zbMath1427.05231arXiv1705.02665MaRDI QIDQ2335700

Corey Vorland

Publication date: 15 November 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02665

zbMATH Keywords

posetantichainspromotionrowmotionproduct of chainsBallot theorems

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11) Group actions on combinatorial structures (05E18)

Related Items (11)

Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ \(P\)-strict promotion and \(Q\)-partition rowmotion: the graded case ⋮ Proof of the Cameron and Fon-Der-Flaass periodicity conjecture ⋮ Birational and noncommutative lifts of antichain toggling and rowmotion ⋮ Rowmotion on fences ⋮ Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture ⋮ Rowmotion and increasing labeling promotion ⋮ Antichain toggling and rowmotion ⋮ Combinatorial, piecewise-linear, and birational homomesy for products of two chains ⋮ Birational antichain toggling and rowmotion

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Proofs and generalizations of a homomesy conjecture of Propp and Roby
• Resonance in orbits of plane partitions and increasing tableaux
• A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux
• Noncrossing partitions, toggles, and homomesies
• Promotion des morphismes d'ensembles ordonnes
• Orbits of antichains revisited
• Combinatorial, piecewise-linear, and birational homomesy for products of two chains
• Promotion of increasing tableaux: frames and homomesies
• Cyclic sieving of increasing tableaux and small Schröder paths
• Homomesy in products of two chains
• Dynamical algebraic combinatorics and the homomesy phenomenon
• Piecewise-linear and birational toggling
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance

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