Engel subalgebras of Leibniz algebras
| dc.creator | Barnes, Donald W. | |
| dc.date | 2008-10-16 | |
| dc.date.accessioned | 2026-07-07T10:10:37Z | |
| dc.date.available | 2026-07-07T10:10:37Z | |
| dc.description | Engel subalgebras of finite-dimensional Leibniz algebras are shown to have similar properties to those of Lie algebras. Using these, it is shown that a left Leibniz algebra, all of whose maximal subalgebras are right ideals, is nilpotent. A primitive Leibniz 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 | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0810.2849 | |
| dc.identifier | http://arxiv.org/abs/0810.2849 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171646 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17A32 | |
| dc.title | Engel subalgebras of Leibniz algebras | |
| dc.type | text |