THE CLASSIFICATION OF THE SIMPLE MODULAR LIE-ALGEBRAS .3. SOLUTION OF THE CLASSICAL CASE

• 成果类型: Article
• 署名作者: STRADE, H
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2944320
• 发表日期: 1991
• 页码: 577-604
• 关键词: Rank

摘要

We investigate the structure of simple modular Lie algebras over an algebraically closed field of characteristic p > 7. If the distinguished subalgebra Q(L, T) with respect to an optimal torus T in some p-envelope L(p) of L equals L, then either L has a two-section of type H(2; 1; PHI(tau))(1) or L is of classical type.