%0 Journal Article %A Campoamor Stursberg, Otto-Rudwig %T Functional realizations of Lie algebras as Noether point symmetries of systems %D 2017 %@ 1210–2709 %U https://hdl.handle.net/20.500.14352/19402 %X Functional realizations of Lie algebras are applied to the problem of determining Lie and Noether point symmetries of Lagrangian systems in N dimensions, particularly in the plane. This encompasses both the case of symmetry-preserving perturbations of a given system, as well as the generic analysis on the structure of (regular) Lagrangians in order to admit a symmetry algebra belonging to a specific isomorphy class. %~