IntegrableG-strands on semisimple Lie groups

DOI10.1088/1751-8113/47/7/075201zbMath1298.22012arXiv1308.3800OpenAlexW2055361257MaRDI QIDQ5404785

François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu

Publication date: 28 March 2014

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

Full work available at URL: https://arxiv.org/abs/1308.3800

zbMATH Keywords

semisimple Lie groupsintegrable Hamiltonian systemssymmetry reductionHamilton principlezero curvature representationEuler-Poincaré equation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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