%0 Journal Article
%A Campoamor Stursberg, Otto-Rudwig
%T Casimir operators induced by the Maurer-Cartan equations
%D 2008
%@ 1751-8113
%U https://hdl.handle.net/20.500.14352/50617
%X 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
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