摘要
设E是特征零的代数封闭域,LE是E上L型有限维单李代效,F是E的包含素子域Q的子域,且|E:F]<∞.本文引入李代数的准子代数的概念,且F上同类型李代数LF就是LE的准子代数.本文定出了LE的包含LF的所有准子代数.
Let E be an algebraic closed field of characteristic not zero, F its subfield with [E ： F] 〈 ∞,and LE a simple Lie algebra of type L over E of finite dimension. Then LF is a quasi-subalgebra of Ls.In this paper, we determine all the quasi-subalgebras of Ls which include LF.
基金
国家自然科学基金(10071078).
关键词
李代数
准子代数
根系
Lie algebras
quasi-subalgebras
root systems.
