Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systems

Campoamor Stursberg, Otto-Rudwig2023-06-182023-06-1820171742-658810.1088/1742-6596/1071/1/012005https://hdl.handle.net/20.500.14352/19403Symmetries in Science XVII 30 July to 4 August 2017, BregenzRealizations 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.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systemsjournal articlehttps://doi.org/10.1088/1742-6596/1071/1/012005open access512Álgebra1201 Álgebra