Twisted cocycles of Lie algebras and corresponding invariant functions
| dc.creator | Hrivnak, Jiri | |
| dc.creator | Novotny, Petr | |
| dc.date | 2009-05-15 | |
| dc.date.accessioned | 2026-07-07T13:15:40Z | |
| dc.date.available | 2026-07-07T13:15:40Z | |
| dc.description | We consider finite-dimensional complex Lie algebras. Using certain complex parameters we generalize the concept of cohomology cocycles of Lie algebras. A special case is generalization of 1-cocycles with respect to the adjoint representation - so called $(α,β,γ)$--derivations. Parametric sets of spaces of cocycles allow us to define complex functions which are invariant under Lie isomorphisms. Such complex functions thus represent useful invariants - we show how they classify three and four-dimensional Lie algebras as well as how they apply to some eight-dimensional one-parametric nilpotent continua of Lie algebras. These functions also provide necessary criteria for existence of 1-parametric continuous contraction. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0905.2599 | |
| dc.identifier | http://arxiv.org/abs/0905.2599 | |
| dc.identifier | Linear Algebra and its Applications 430 (2009) 1384-1403 | |
| dc.identifier | doi:10.1016/j.laa.2008.11.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230542 | |
| dc.subject | Mathematical Physics | |
| dc.title | Twisted cocycles of Lie algebras and corresponding invariant functions | |
| dc.type | text |