2026-06-07T15:52:09Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/506172024-07-16T14:18:31Zcom_20.500.14352_14col_20.500.14352_15

Casimir operators induced by the Maurer-Cartan equations Campoamor Stursberg, Otto-Rudwig 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 2023-06-20T10:34:39Z 2023-06-20T10:34:39Z 2008 journal article 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/ eng MTM2006-09152 CCG07-UCM/ESP-2922 open access IOP Publishing Ltd