This article is cited in 3 papers

On observable algebras of a class of associative mechanical systems

G. K. Tolokonnikov


Abstract: 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.

Received: 16.05.1984

 English version: Theoretical and Mathematical Physics, 1985, 63:2, 433–439

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