Grassmann extensions of Yang–Baxter maps

DOI10.1088/1751-8113/49/14/145202zbMath1345.81055arXiv1510.06913OpenAlexW2233920003WikidataQ59894806 ScholiaQ59894806MaRDI QIDQ3186443

S. Konstantinou-Rizos, Georgi G. Grahovski, Alexander V. Mikhailov

Publication date: 9 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06913

zbMATH Keywords

Yang-Baxter mapsGrassmann algebraic varietiesGrassmann extensions of Darboux transformationsGrassmann extensions of Yang-Baxter mapsnoncommutative extensions of Yang-Baxter maps

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Yang-Baxter equations (16T25)

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