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

00925njm 22002777a 4500 dc Campoamor Stursberg, Otto-Rudwig author 2003 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 0022-2488 10.1063/1.1532536 https://hdl.handle.net/20.500.14352/50723 https//doi.org/10.1063/1.1532536 http://arxiv.org/pdf/math/0204074v2.pdf http://jmp.aip.org/ On the invariants of some solvable rigid Lie algebras