典型李代数K阶内自同构共轭类的矩阵表达式

Matrix Representation of Conjugacy Classes of Inner Automorphisms of Order K for Classical Lie Algebra

首先给出了典型李代数自同构的一些性质,接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件,并计算了任意阶自同构的不动点集.

In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented. Fixed point sets are computed for some conjugacy class of automorphisms.