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Campoamor Stursberg, Otto-Rudwig 2023-06-20T10:34:39Z 2023-06-20T10:34:39Z 2008 1751-8113 10.1088/1751-8113/41/36/365207 https://hdl.handle.net/20.500.14352/50617 https//doi.org/10.1088/1751-8113/41/36/365207 http://iopscience.iop.org/1751-8121/41/36/365207/ 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 means of 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 eng open access Casimir operators induced by the Maurer-Cartan equations journal article