Poisson–Lie groups, bi-Hamiltonian systems and integrable deformations

DOI10.1088/1751-8121/aa617bzbMath1412.70023arXiv1609.07438OpenAlexW3104366057MaRDI QIDQ2987998

Zohreh Ravanpak, Juan Carlos Marrero, Ángel Ballesteros

Publication date: 18 May 2017

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

Full work available at URL: https://arxiv.org/abs/1609.07438

zbMATH Keywords

coalgebrasHamiltonian systemsPoisson-Lie groupscompletely integrable systemsbi-Hamiltonian systemsintegrable deformationsLie-Poisson structures

Mathematics Subject Classification ID

Hamilton's equations (70H05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Poisson algebras (17B63)

Related Items (4)

Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Invariant Poisson–Nijenhuis structures on Lie groups and classification ⋮ Hamiltonian structure of compartmental epidemiological models ⋮ Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson–Lie groups

Cites Work

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