2026-06-29T07:26:39Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/507232024-07-16T13:59:59Zcom_20.500.14352_14col_20.500.14352_15

On the invariants of some solvable rigid Lie algebras Campoamor Stursberg, Otto-Rudwig 512 Lie algebras Rigid Casimir invariants Álgebra 1201 Álgebra We determine fundamental systems of invariants for complex solvable rigid Lie algebras having nonsplit nilradicals of characteristic sequence (3, 1, .., 1), these algebras being the natural followers of solvable algebras having Heisenberg nilradicals. A special case of this allows us to obtain a criterion to determine the number of functionally independent invariants of rank one subalgebras of (real or complex) solvable Lie algebras. Finally, we give examples of the inverse procedure, obtaining fundamental systems of an algebra starting from rank one subalgebras Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T10:36:03Z 2023-06-20T10:36:03Z 2003 journal article https://hdl.handle.net/20.500.14352/50723 0022-2488 10.1063/1.1532536 eng open access application/pdf American Institute of Physics