Some instances of homomesy among ideals of posets

DOI10.37236/6051OpenAlexW3146968748MaRDI QIDQ2662341

Shahrzad Haddadan

Publication date: 12 April 2021

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

Full work available at URL: https://arxiv.org/abs/1410.4819

zbMATH Keywords

orbitsantichainspromotionrowmotion

Mathematics Subject Classification ID

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

Related Items (8)

The birational Lalanne-Kreweras involution ⋮ \(P\)-strict promotion and piecewise-linear rowmotion, with applications to flagged tableaux ⋮ Homomesy via toggleability statistics ⋮ Antichain toggling and rowmotion ⋮ The toggle group, homomesy, and the Razumov-Stroganov correspondence ⋮ Toggling independent sets of a path graph ⋮ Birational antichain toggling and rowmotion ⋮ Generalized bitstring rotation and its applications to toggle dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative properties of birational rowmotion. I: Generalities and skeletal posets.
• Promotion and rowmotion
• A note on statistical averages for oscillating tableaux
• Proofs and generalizations of a homomesy conjecture of Propp and Roby
• On orbits of antichains of positive roots
• Rowmotion and increasing labeling promotion
• Orbits of antichains revisited
• On orbits of order ideals of minuscule posets
• Birational and noncommutative lifts of antichain toggling and rowmotion
• Homomesy in products of two chains
• A uniform bijection between nonnesting and noncrossing partitions
• THE EXPECTED JAGGEDNESS OF ORDER IDEALS
• Piecewise-linear and birational toggling

This page was built for publication: Some instances of homomesy among ideals of posets