On k-abelian, p-filiform Lie algebras
| dc.creator | Campoamor, Otto Rutwig | |
| dc.date | 2000-07-28 | |
| dc.date | 2001-08-31 | |
| dc.date.accessioned | 2026-07-07T04:36:33Z | |
| dc.date.available | 2026-07-07T04:36:33Z | |
| dc.description | We classify the (n-5)-filiform Lie algebras which have the additional property of a non-abelian derived subalgebra. We show that this property is strongly related with the structure of the Lie algebra of derivations; explicitely we show that if a (n-5)-filiform algebra is characteristically nilpotent, then it must be 2-abelian. We also give applications of k-abelian Lie algebras to the construction of solvable rigis algebras, as well as to the theory of nilalgebras of parabolic subalgebras in the example of the exceptional simple model E_{6}. | |
| dc.description | 22 Latex Pages. Part of the communication given in the I Colloquium of Lie theory celebrated in Vigo 17-22 july 2000 | |
| dc.identifier | https://arxiv.org/abs/math/0007176 | |
| dc.identifier | http://arxiv.org/abs/math/0007176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59638 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B30; 17B56 | |
| dc.title | On k-abelian, p-filiform Lie algebras | |
| dc.type | text |