Non-semisimple Lie algebras with Levi factor so(3), sl(2,R) and their invariants

dc.contributor.authorCampoamor-Stursberg, Rutwig
dc.description.abstractWe 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}) = 0
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
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dc.journal.titleJournal of physics A: Mathematical and general
dc.publisherIOP Publishing
dc.rights.accessRightsopen access
dc.subject.unesco1201 Álgebra
dc.titleNon-semisimple Lie algebras with Levi factor so(3), sl(2,R) and their invariants
dc.typejournal article
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