On (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions
| dc.creator | Novotný, Petr | |
| dc.creator | Hrivnák, Jiří | |
| dc.date | 2008-03-18 | |
| dc.date.accessioned | 2026-07-07T09:27:23Z | |
| dc.date.available | 2026-07-07T09:27:23Z | |
| dc.description | We consider finite-dimensional complex Lie algebras. We generalize the concept of Lie derivations via certain complex parameters and obtain various Lie and Jordan operator algebras as well as two one-parametric sets of linear operators. Using these parametric sets, we introduce complex functions with fundamental property - invariance under Lie isomorphisms. One of these basis-independent functions represents a complete set of invariant(s) for three-dimensional Lie algebras. We present also its application on physically motivated examples in dimension eight. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0803.2682 | |
| dc.identifier | http://arxiv.org/abs/0803.2682 | |
| dc.identifier | Journal of Geometry and Physics 58 (2008) 208-217 | |
| dc.identifier | doi:10.1016/j.geomphys.2007.10.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157083 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17B05; 17B40 | |
| dc.title | On (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions | |
| dc.type | text |