A birational lifting of the Stanley-Thomas word on products of two chains

DOI10.46298/dmtcs.6633zbMath1498.05291arXiv2001.03811OpenAlexW3193798259MaRDI QIDQ5038196

Michael Joseph, Tom Roby

Publication date: 30 September 2022

Published in: Discrete Mathematics & Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03811

zbMATH Keywords

noncommutative algebraantichainsbirational rowmotionhomomesychain polytopeproduct of chainsdynamical algebraic combinatoricscyclic rotationStanley-Thomas word

Mathematics Subject Classification ID

Combinatorics on words (68R15) Combinatorics of partially ordered sets (06A07) Group actions on combinatorial structures (05E18)

Related Items (2)

The birational Lalanne-Kreweras involution ⋮ Birational rowmotion on a rectangle over a noncommutative ring

Cites Work

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• Combinatorial, piecewise-linear, and birational homomesy for products of two chains
• The birational Lalanne-Kreweras involution
• Birational and noncommutative lifts of antichain toggling and rowmotion
• Birational rowmotion and Coxeter-motion on minuscule posets
• Homomesy in products of two chains
• Rowmotion orbits of trapezoid posets
• A uniform bijection between nonnesting and noncrossing partitions
• Rowmotion and generalized toggle groups
• Doppelgängers: Bijections of Plane Partitions

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