%0 Journal Article %A Aguirre Dabán, Eduardo %A Doebner, H.D. %A Henning, J.D. %T All local classical symmetries in Hamiltonian mechanics %D 1983 %@ 0377-9017 %U https://hdl.handle.net/20.500.14352/64776 %X 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. %~