Antichain toggling and rowmotion

zbMath1409.05218arXiv1709.09331MaRDI QIDQ668090

Michael Joseph

Publication date: 5 March 2019

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

Full work available at URL: https://arxiv.org/abs/1709.09331

zbMATH Keywords

posetsymmetric groupantichainisomorphismgraded posetalternating grouporder ideallinear extensionrowmotionchain polytopepiecewise-linear toggletoggle group

Mathematics Subject Classification ID

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

Related Items (10)

A birational lifting of the Stanley-Thomas word on products of two chains ⋮ The birational Lalanne-Kreweras involution ⋮ Rowmotion Markov chains ⋮ Birational and noncommutative lifts of antichain toggling and rowmotion ⋮ Rowmotion on fences ⋮ On the action of the toggle group of the Dynkin diagram of type \(A\) ⋮ Rowmotion and increasing labeling promotion ⋮ Birational antichain toggling and rowmotion ⋮ Symmetry of Narayana Numbers and Rowvacuation of Root Posets ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion

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