Campoamor Stursberg, Otto-Rudwig2023-06-202023-06-2020030305-447010.1088/0305-4470/36/5/312https://hdl.handle.net/20.500.14352/50729We analyze the number N of functionally independent generalized Casimir invariants for non-semisimple Lie algebras \frak{s}\overrightarrow{% oplus}_{R}\frak{r} with Levi factors isomorphic to \frak{so}(3) and \frak{sl}(2,R) in dependence of the pair (R,\frak{r}) formed by a representation R of \frak{s} and a solvable Lie algebra \frak{r}. We show that for any dimension n >= 6 there exist Lie algebras \frak{s}\overrightarrow{\oplus}_{R}\frak{r} with non-trivial Levi decomposition such that N(\frak{s}% \overrightarrow{oplus}_{R}\frak{r}) = 0engjournal articlehttps//doi.org/10.1088/0305-4470/36/5/312http://arxiv.org/pdf/math/0208195v1.pdfopen access512Álgebra1201 Álgebra