Relativistic and Galilean-invariant classical mechanical systems

DOI10.1007/BF01084956zbMath0404.70008OpenAlexW2063161119MaRDI QIDQ1256868

A. G. Reyman

Publication date: 1977

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084956

zbMATH Keywords

Galilean-Invariant Classical Mechanical SystemsGalileo GroupHamiltonian MechanicsHomogeneous Simplicial SpacesIrreducible Unitary Representation Group of PoincareRelativistic Mechanical SystemsStructures of the Classical Systems

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General models, approaches, and methods in mechanics of particles and systems (70G99)

Cites Work

• The characters of unitary representations of Lie groups
• Hamiltonian structures for homogeneous spaces
• On unitary ray representations of continuous groups
• Classical Lorentz Invariant Particles

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