Casimir operators induced by Maurer-Cartan equations
| dc.creator | Campoamor-Stursberg, R. | |
| dc.date | 2008-05-19 | |
| dc.date | 2008-10-25 | |
| dc.date.accessioned | 2026-07-07T11:50:56Z | |
| dc.date.available | 2026-07-07T11:50:56Z | |
| dc.description | It is shown that for inhomogeneous Lie algebras $\frak{g}=\frak{s}\overrightarrow{\oplus}_Λ(\dim Λ)L_{1}$ satisfying the condition $\mathcal{N}(\frak{g})=1$, 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 $R$. The procedure is generalized to compute also the rational invariant of some Lie algebras. | |
| dc.identifier | https://arxiv.org/abs/0805.2982 | |
| dc.identifier | http://arxiv.org/abs/0805.2982 | |
| dc.identifier | J.Phys.A41:365207,2008 | |
| dc.identifier | doi:10.1088/1751-8113/41/36/365207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203726 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Casimir operators induced by Maurer-Cartan equations | |
| dc.type | text |