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                  <mods:namePart>Campoamor Stursberg, Otto-Rudwig</mods:namePart>
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               <mods:abstract>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</mods:abstract>
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