%0 Journal Article %A González Gascón, Francisco %A Aguirre Dabán, Eduardo %T Notes on a paper by Lutzky on the noncanonical symmetries of Hamiltonian systems: “Noncanonical symmetries and isospectral representations of Hamiltonian systems” %D 1982 %@ 0375-9601 %U https://hdl.handle.net/20.500.14352/64797 %X We obtain the first integrals Tr(Rk) by using a differential equation of the Lax type of simpler structure than the one obtained in a recent paper. Certain questions raised in this paper on the relation between noncanonical symmetries S and complete integrability are answered. Additional first integrals depending on the derivatives of S of order greater than one are also obtained. %~