Lie algebras generated by extremal elements
| dc.creator | Cohen, Arjeh M. | |
| dc.creator | Steinbach, Anja | |
| dc.creator | Ushirobira, Rosane | |
| dc.creator | Wales, David B. | |
| dc.date | 1999-03-12 | |
| dc.date.accessioned | 2026-07-07T05:28:18Z | |
| dc.date.available | 2026-07-07T05:28:18Z | |
| dc.description | We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals of L) over a field of characteristic distinct from 2. We prove that any Lie algebra generated by a finite number of extremal elements is finite dimensional. The minimal number of extremal generators for the Lie algebras of type An, Bn (n>2), Cn (n>1), Dn (n>3), En (n=6,7,8), F4 and G2 are shown to be n+1, n+1, 2n, n, 5, 5, and 4 in the respective cases. These results are related to group theoretic ones for the corresponding Chevalley groups. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903077 | |
| dc.identifier | http://arxiv.org/abs/math/9903077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78214 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 17B05; 20D06 | |
| dc.title | Lie algebras generated by extremal elements | |
| dc.type | text |