Engel subalgebras of n-Lie algebras
| dc.creator | Barnes, Donald W. | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T10:16:35Z | |
| dc.date.available | 2026-07-07T10:16:35Z | |
| dc.description | Engel subalgebras of finite-dimensional n-Lie algebras are shown to have similar properties to those of Lie algebras. Using these, it is shown that an n-Lie algebra, all of whose maximal subalgebras are ideals, is nilpotent. A primitive 2-soluble n-Lie algebra is shown to split over its minimal ideal and that all the complements to its minimal ideal are conjugate. A subalgebra is shown to be a Cartan subalgebra if and only if it is minimal Engel, provided that the field has sufficiently many elements. Cartan subalgebras are shown to have a property analogous to intravariance. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610347 | |
| dc.identifier | http://arxiv.org/abs/math/0610347 | |
| dc.identifier | Acta Math. Sinica 24 (2008) 159--166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173557 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B05; 17B30 | |
| dc.title | Engel subalgebras of n-Lie algebras | |
| dc.type | text |