SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. II. Realizations of the Lie algebra

DOI10.1063/1.527872zbMath0681.34013OpenAlexW2077083954WikidataQ115332021 ScholiaQ115332021MaRDI QIDQ4730084

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527872

zbMATH Keywords

SL(3,R)maximal point symmetry groupNewtonian linear systemtwo-dimensional space-time realizations of the Lie algebra oftwo-dimensional space-time realizations of the Lie algebra of SL(3,R)

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30)

Related Items

Contact symmetry algebras of scalar second-order ordinary differential equations ⋮ A group theoretical identification of integrable cases of the Liénard-type equation ẍ+f(x)ẋ+g(x)=. I. Equations having nonmaximal number of Lie point symmetries ⋮ Heuristic approach to non-Abelian quantum kinematics and dynamics in configuration spacetime ⋮ SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. III. Equivalent Lagrangian formalisms ⋮ On the complete symmetry group of the classical Kepler system ⋮ Point symmetry group of the Lagrangian ⋮ Symmetry analysis for a fourth-order noise-reduction partial differential equation

Cites Work

• Infinitesimal symmetry transformations of some one-dimensional linear systems
• Quantum kinematics of the harmonic oscillator
• SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems
• Some remarks on the Lie group of point transformations for the harmonic oscillator
• The Lie group of Newton's and Lagrange's equations for the harmonic oscillator

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