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.
Citation:
G. K. Tolokonnikov, “On observable algebras of a class of associative mechanical systems”, TMF, 63:2 (1985), 164–174; Theoret. and Math. Phys., 63:2 (1985), 433–439