2026-06-27T10:11:04Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/194032024-07-16T14:18:35Zcom_20.500.14352_14col_20.500.14352_15

Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systems Campoamor Stursberg, Otto-Rudwig Symmetries in Science XVII 30 July to 4 August 2017, Bregenz Realizations of Lie algebras by means vector fields associated to a linear representation and their corresponding invariant functions are inspected from the perspective of the embedding problem of Lie algebras and the branching rules for the subduction of representations. Some applications concerning the construction of dynamical systems with prescribed Lie algebras of point symmetries and the symmetry breaking with respect to embeddings of algebras into so(N) are discussed. 2023-06-18T00:11:58Z 2023-06-18T00:11:58Z 2017 journal article 1742-6588 10.1088/1742-6596/1071/1/012005 https://hdl.handle.net/20.500.14352/19403 https://doi.org/10.1088/1742-6596/1071/1/012005 eng https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España IOP Publishing Ltd