Simple Lie algebras of small characteristic V. The non-Melikian case
| dc.creator | Premet, Alexander | |
| dc.creator | Strade, Helmut | |
| dc.date | 2006-01-13 | |
| dc.date.accessioned | 2026-07-07T06:58:52Z | |
| dc.date.available | 2026-07-07T06:58:52Z | |
| dc.description | Let L be a finite dimensional simple Lie algebra over an algebraically closed field of characteristic p>3. We prove in this paper that if all tori of maximal dimansion in the semisimple p-envelope of L are standard, the L is up to isomorphism either a Lie algebra of type A_n, B_n, C_n, D_n, E_6, E_7, E_8, F_4, G_2 or a filtered Lie algebra of Cartan type. When p>5, the assumption on tori is fulfilled automatically and our result can be restated as follows: every finite dimensional simple Lie algebra over an algebraically closee field of characteristic p>5 is either classical or of Cartan type. This theorem settles the last remaining case p=7 of the Kostrikin-Shafarevich conjecture (from 1966). | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601323 | |
| dc.identifier | http://arxiv.org/abs/math/0601323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107535 | |
| dc.subject | Rings and Algebras | |
| dc.title | Simple Lie algebras of small characteristic V. The non-Melikian case | |
| dc.type | text |