Birational rowmotion and Coxeter-motion on minuscule posets

DOI10.37236/9557zbMath1456.05179arXiv2004.05364OpenAlexW3131674110MaRDI QIDQ2223470

Soichi Okada

Publication date: 29 January 2021

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

Full work available at URL: https://arxiv.org/abs/2004.05364

zbMATH Keywords

birational Coxeter-motion on minuscule posets

Mathematics Subject Classification ID

Algebraic aspects of posets (06A11) Group actions on combinatorial structures (05E18)

Related Items (6)

A birational lifting of the Stanley-Thomas word on products of two chains ⋮ The birational Lalanne-Kreweras involution ⋮ Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass ⋮ \(P\)-strict promotion and \(Q\)-partition rowmotion: the graded case ⋮ Homomesy via toggleability statistics ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion

Cites Work

• Unnamed Item
• Iterative properties of birational rowmotion. I: Generalities and skeletal posets.
• Promotion and rowmotion
• Iterative properties of birational rowmotion. II: Rectangles and triangles.
• On orbits of antichains of positive roots
• Two poset polytopes
• Paths to understanding birational rowmotion on products of two chains
• On orbits of order ideals of minuscule posets
• Bruhat lattices, plane partition generating functions, and minuscule representations
• Minuscule reverse plane partitions via quiver representations
• Homomesy in products of two chains
• A uniform bijection between nonnesting and noncrossing partitions
• Dynamical algebraic combinatorics and the homomesy phenomenon
• Piecewise-linear and birational toggling
• Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion

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