Functional realizations of lie algebras as noether point symmetries of systems

Rutwig Campoamor-Stursberg

Functional realizations of lie algebras as noether point symmetries of systems

Číslo: 6/2017
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2017.57.0373

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Anotace: 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.