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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 512.554.3 Lie algebra Casimir operator Álgebra 1201 Álgebra 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 Ministerio de Educación, Formación Profesional y Deportes (España) Universidad Complutense de Madrid Comunidad de Madrid Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T10:34:39Z 2023-06-20T10:34:39Z 2008 journal article https://hdl.handle.net/20.500.14352/50617 1751-8113 10.1088/1751-8113/41/36/365207 eng MTM2006-09152 CCG07-UCM/ESP-2922 open access application/pdf IOP Publishing Ltd