关于单李三系的分类

On the Classification of Simple Lie Triple Systems

对于特征零代数闭域上的有限维单李三系,用新的处理方法证明它们可分为两类,并指出每类的特征.

With a new approach the authors prove that all Simple Lie Triple Systems（LTS） over an alge- braically closed field of characteristic zero can be divided into two classes：the LTS of simple Lie algebras and the LTS of （ - 1）-spaces of involutions of simple Lie algebras, and describe some characterization properties for each class.