Integrable systems on semidirect product Lie groups

DOI10.1088/1751-8113/47/20/205206zbMath1294.22003arXiv1307.0122OpenAlexW3103151595MaRDI QIDQ4979730

H. Montani, Santiago Capriotti

Publication date: 19 June 2014

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

Full work available at URL: https://arxiv.org/abs/1307.0122

zbMATH Keywords

Lie groupsintegrable systemPoisson-Lie structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Constrained dynamics, Dirac's theory of constraints (70H45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Vector distributions (subbundles of the tangent bundles) (58A30) Representations of group algebras (22D20)

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