RELATIVISTIC CORRECTIONS TO ELEMENTARY GALILEAN DYNAMICS AND DEFORMATIONS OF POISSON BRACKETS

DOI10.1142/9789812792099_0009zbMath1027.70026OpenAlexW2018786247MaRDI QIDQ2724630

Yu. M. Vorob'ev, Ruben Flores Espinoza

Publication date: 5 January 2004

Published in: Hamiltonian Systems and Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812792099_0009

zbMATH Keywords

Lie algebraLie bracketrelativistic dynamicsPoincaré groupLorentz group2-cocycleGalilei algebraPoincaré algebralinear Poisson bracketsaffine Poisson bracketsinfinitesimal relativistic deformationvector space automorphism

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Related Items (1)

Perturbed Hamiltonian dynamics from deformation of Poisson brackets

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