A functional realization of 𝔰𝔩(3, ℝ) providing minimal Vessiot–Guldberg–Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras

DOI10.1063/1.4954255zbMath1388.34009OpenAlexW2470593642WikidataQ58324898 ScholiaQ58324898MaRDI QIDQ3178335

Otto Rutwig Campoamor Stursberg

Publication date: 11 July 2016

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

Full work available at URL: https://doi.org/10.1063/1.4954255

zbMATH Keywords

second-order ordinary differential equationLie systemsVessiot-Guldberg-Lie algebranonlinear superpositions

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Lie algebras of linear algebraic groups (17B45)

Related Items (5)

Lie–Hamilton systems on curved spaces: a geometrical approach ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on $\mathbb{R}^2$ ⋮ Reduction by invariants and projection of linear representations of Lie algebras applied to the construction of nonlinear realizations ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

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