Tetrahedron maps and symmetries of three dimensional integrable discrete equations

DOI10.1063/1.5124874zbMath1439.37074arXiv1908.03019OpenAlexW3101373377WikidataQ126576443 ScholiaQ126576443MaRDI QIDQ5218779

Maciej Nieszporski, Pavlos Kassotakis, A. G. Tongas, V. G. Papageorgiou

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1908.03019

zbMATH Keywords

symmetry groupsconsistency propertytetrahedron equationintegrable discrete equationsmultidimensional consistency property

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70) Symmetries and invariants of dynamical systems (37C79)

Related Items

Nonlinear Schrödinger type tetrahedron maps ⋮ Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ Parametric 4-simplex maps of degenerated NLS type ⋮ Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation ⋮ Birational solutions to the set-theoretical 4-simplex equation ⋮ Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability ⋮ Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices ⋮ Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps ⋮ Tetrahedron maps and symmetries of three dimensional integrable discrete equations ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Multi-component extension of CAC systems ⋮ Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems ⋮ A discrete Darboux-Lax scheme for integrable difference equations ⋮ Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation

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