Periodic cluster mutations and related integrable maps

DOI10.1088/1751-8113/47/47/474003zbMath1318.37015arXiv1403.8061OpenAlexW2962693526WikidataQ59898472 ScholiaQ59898472MaRDI QIDQ2936558

Allan P. Fordy

Publication date: 17 December 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.8061

zbMATH Keywords

bi-Hamiltonian structuresPoisson algebrasintegrable mapsLaurent propertycluster algebrassuper integrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson algebras (17B63) Cluster algebras (13F60)

Related Items (5)

Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation ⋮ Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability ⋮ Integrable extensions of the Adler map via Grassmann algebras ⋮ Entwining Yang–Baxter maps related to NLS type equations ⋮ Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation

Uses Software

• quivermutation

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