Non-commutative rational Yang-Baxter maps

DOI10.1007/s11005-013-0669-7zbMath1306.37073arXiv1308.2824OpenAlexW2168492574WikidataQ59398393 ScholiaQ59398393MaRDI QIDQ464320

Adam Doliwa

Publication date: 17 October 2014

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

Full work available at URL: https://arxiv.org/abs/1308.2824

zbMATH Keywords

multidimensional consistencyfunctional Yang-Baxter equationnon-autonomous lattice Gel'fand-Dikii systemsnon-commutative integrable difference equationsnon-commutative rational maps

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Partial difference equations (39A14)

Related Items (15)

Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps ⋮ On non-abelian quadrirational Yang–Baxter maps* ⋮ Tetrahedron maps, Yang–Baxter maps, and partial linearisations ⋮ A noncommutative discrete potential KdV lift ⋮ Discrete integrable systems associated with relativistic collisions ⋮ Quantum groups, Yang-Baxter maps and quasi-determinants ⋮ Two-component Yang-Baxter maps and star-triangle relations ⋮ The Coxeter relations and KP map for non-commuting symbols ⋮ Variations of theq-Garnier system ⋮ ZN graded discrete Lax pairs and Yang–Baxter maps ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ Non-commutative double-sided continued fractions ⋮ Entwining Yang–Baxter maps related to NLS type equations

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