RT Journal Article T1 Casimir operators induced by the Maurer-Cartan equations A1 Campoamor Stursberg, Otto-Rudwig AB It is shown that for inhomogeneous Lie algebras having only one Casimir operator, the latter can be explicitly constructed from the Maurer-Cartan equations by meansof wedge products. It is further proved that this constraint imposes sharp bounds for the dimension of the representation R defining the semidirect product. The procedure is generalized to compute also the rational invariant of some Lie algebras PB IOP Publishing Ltd SN 1751-8113 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/50617 UL https://hdl.handle.net/20.500.14352/50617 LA eng NO Ministerio de Educación, Formación Profesional y Deportes (España) NO Universidad Complutense de Madrid NO Comunidad de Madrid DS Docta Complutense RD 5 abr 2025