General transformation theory of Lagrangian mechanics and the Lagrange group

DOI10.1007/BF00672894zbMath0722.70016MaRDI QIDQ756462

D. Kharzeev

Publication date: 1991

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Lagrangian mechanicsconfiguration spacetimeGauge transformationgeneral transformation theorygroup-theoretic point of viewlocal coordinate transformations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Lagrange's equations (70H03) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Axiomatics, foundations (70A05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. III. Equivalent Lagrangian formalisms

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