RT Journal Article T1 Invariant functions of vector field realizations of Lie algebras and some applications to representation theory and dynamical systems A1 Campoamor Stursberg, Otto-Rudwig AB 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. PB IOP Publishing Ltd SN 1742-6588 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/19403 UL https://hdl.handle.net/20.500.14352/19403 LA eng NO Symmetries in Science XVII 30 July to 4 August 2017, Bregenz DS Docta Complutense RD 21 abr 2025