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All local classical symmetries in Hamiltonian mechanics
Authors:E. Aguirre  H. D. Doebner  J. D. Hennig
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
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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