Casimir operators induced by Maurer-Cartan equations
High Energy Physics - Theory
2008-11-26 v2
Abstract
It is shown that for inhomogeneous Lie algebras satisfying the condition , the only Casimir operator can be explicitly constructed from the Maurer-Cartan equations by means of wedge products. It is shown that this constraint imposes sharp bounds for the dimension of the representation . The procedure is generalized to compute also the rational invariant of some Lie algebras.
Keywords
Cite
@article{arxiv.0805.2982,
title = {Casimir operators induced by Maurer-Cartan equations},
author = {R. Campoamor-Stursberg},
journal= {arXiv preprint arXiv:0805.2982},
year = {2008}
}