Geodesic
On observable algebras of a class of associative mechanical systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 164-174 
G. K. Tolokonnikov. On observable algebras of a class of associative mechanical systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 164-174. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a1/
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     author = {G. K. Tolokonnikov},
     title = {On observable algebras of a~class of associative mechanical systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1985},
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     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A classification is made of the associative algebras of functions invariant with respect to the adjoint action of the group of affine transformations of the line, these functions containing an everywhere dense subalgebra of polynomials. The applications of the results to the problem of describing possible Hamiltonian mechanical systems are discussed.

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