Functional realizations of Lie algebras as Noether point symmetries of systems

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...

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Detalles Bibliográficos
Autor: Campoamor Stursberg, Otto-Rudwig
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/19402
Acceso en línea:https://hdl.handle.net/20.500.14352/19402
Access Level:acceso abierto
Palabra clave:512
Lagrangian
Lie point symmetry
Noether symmetry
Perturbation
Álgebra
1201 Álgebra
Descripción
Sumario: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.