All local classical symmetries in Hamiltonian mechanics |
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Authors: | E. Aguirre H. D. Doebner J. D. Hennig |
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Affiliation: | (1) Institute for Theoretical Physics, Technical University of Clausthal, D-3392 Clausthal, Germany;(2) Present address: Departamento de Mecánica, Facultad de Matemáticas, Universidad Complutense, Madrid 3, Spain |
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Abstract: | Using the formalism of symplectic group actions and coadjoint orbits, we give a complete list of all classical simple Lie algebras which are local symmetries for a given Hamiltonian vector field. |
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