Solvability of a Lie algebra of vector fields implies their integrability by quadratures

DOI10.1088/1751-8113/49/42/425202zbMath1351.37224arXiv1606.02472OpenAlexW3098635324MaRDI QIDQ2832481

José F. Cariñena, Janusz Grabowski, Fernando Falceto

Publication date: 11 November 2016

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

Full work available at URL: https://arxiv.org/abs/1606.02472

zbMATH Keywords

integrable systemssolvable and nilpotent Lie algebrasintegration by quadratures

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Solvable, nilpotent (super)algebras (17B30)

Related Items (7)

Non-commutative integrability, exact solvability and the Hamilton-Jacobi theory ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems ⋮ Unnamed Item ⋮ Quasi-Lie schemes for PDEs ⋮ Solvable Lie algebras of vector fields and a Lie's conjecture ⋮ Integrable systems in cosymplectic geometry

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