Reduction by invariants and projection of linear representations of Lie algebras applied to the construction of nonlinear realizations

DOI10.1063/1.4989890zbMath1506.34051OpenAlexW2789610234WikidataQ58324870 ScholiaQ58324870MaRDI QIDQ4635294

Otto Rutwig Campoamor Stursberg

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1063/1.4989890

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Cites Work

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• Nonlinear equations with superposition principles and the theory of transitive primitive Lie algebras
• Systems of ordinary differential equations with nonlinear superposition principles
• A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
• Internal labelling problem: an algorithmic procedure
• Lie systems: theory, generalisations, and applications
• A functional realization of 𝔰𝔩(3, ℝ) providing minimal Vessiot–Guldberg–Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras
• Non-solvable contractions of semisimple Lie algebras in low dimension
• Lie–Hamilton systems on the plane: applications and superposition rules
• On the integrability of systems of nonlinear ordinary differential equations with superposition principles
• Lie point symmetries for systems of second order linear ordinary differential equations
• Lie Algebras of Vector Fields in the Real Plane
• Realizations of real low-dimensional Lie algebras
• The problem of constructive equivalence in differential geometry
• Lie–Hamilton systems on curved spaces: a geometrical approach
• The Lie point symmetry generators admitted by systems of linear differential equations
• Classification and Identification of Lie Algebras
• Possible Kinematics
• Classification of Semisimple Subalgebras of Simple Lie Algebras