Generators of simple Lie algebras in arbitrary characteristics
| dc.creator | Bois, Jean-Marie | |
| dc.date | 2007-08-13 | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:49:45Z | |
| dc.date.available | 2026-07-07T09:49:45Z | |
| dc.description | In this paper we study the minimal number of generators for simple Lie algebras in characteristic 0 or p > 3. We show that any such algebra can be generated by 2 elements. We also examine the 'one and a half generation' property, i.e. when every non-zero element can be completed to a generating pair. We show that classical simple algebras have this property, and that the only simple Cartan type algebras of type W which have this property are the Zassenhaus algebras. | |
| dc.description | 26 pages, final version, to appear in Math. Z. Main improvements and corrections in Section 4.3 | |
| dc.identifier | https://arxiv.org/abs/0708.1711 | |
| dc.identifier | http://arxiv.org/abs/0708.1711 | |
| dc.identifier | doi:10.1007/s00209-008-0397-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164701 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B50; 17B45 | |
| dc.title | Generators of simple Lie algebras in arbitrary characteristics | |
| dc.type | text |