Geodesic
On groups acting in phase space
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 55-61

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The problem of the motion of a material point in a central field of general type is considered. It is shown that in the infinite-dimensional group of canonical transformations which leave the Hamiltonian function invariant there are no finite-dimensional subgroups which are significantly larger than the three-dimensional group of rotations (exact formulations in Sec. 3 and Sec. 5). 
@article{MZM_1969_5_1_a6,
     author = {\`E. \`E. Shnol'},
     title = {On groups acting in phase space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {55--61},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a6/}
}
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È. È. Shnol'. On groups acting in phase space. Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 55-61. http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a6/