On the action of the toggle group of the Dynkin diagram of type \(A\)

DOI10.5802/alco.204OpenAlexW4214574062MaRDI QIDQ2700333

Yasuhide Numata, Yuiko Yamanouchi

Publication date: 20 April 2023

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16217

zbMATH Keywords

Coxeter groupssymmetric groupFibonacci sequencetransitive actionstogglings of independent sets

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Multiply transitive finite groups (20B20) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Promotion and rowmotion
• The toggle group, homomesy, and the Razumov-Stroganov correspondence
• Dynamics groups of asynchronous cellular automata
• Antichain toggling and rowmotion
• Orbits of antichains revisited
• Universal gates with wires in a row
• Birational and noncommutative lifts of antichain toggling and rowmotion
• Toggling independent sets of a path graph

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