Proof of the Cameron and Fon-Der-Flaass periodicity conjecture

zbMath1505.05159MaRDI QIDQ2680918

Rebecca Patrias, Oliver Pechenik

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/3.html

zbMATH Keywords

plane partitionrowmotionincreasing tableaudynamical algebraic combinatorics\(K\)-promotion

Mathematics Subject Classification ID

Partial orders, general (06A06) Partitions of sets (05A18) Combinatorial aspects of representation theory (05E10) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Unnamed Item
• \(K\)-theory of minuscule varieties
• Promotion and rowmotion
• Resonance in orbits of plane partitions and increasing tableaux
• Longest increasing subsequences, Plancherel-type measure and the Hecke insertion algorithm
• On orbits of antichains of positive roots
• A jeu de taquin theory for increasing tableaux, with application to \(K\)-theoretic Schubert calculus
• Promotion des morphismes d'ensembles ordonnes
• Orbits of plane partitions of exceptional Lie type
• Sur les hypergraphes invariants
• The cyclic sieving phenomenon
• Orbits of antichains revisited
• On orbits of order ideals of minuscule posets
• Homomesy in products of three chains and multidimensional recombination
• Promotion of increasing tableaux: frames and homomesies
• Cyclic sieving of increasing tableaux and small Schröder paths
• Homomesy in products of two chains
• A uniform bijection between nonnesting and noncrossing partitions
• Dynamics of plane partitions: Proof of the Cameron–Fon-Der-Flaass conjecture
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance

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