classical real simple Lie algebras

Let R be a unital commutative ring of characteristic not 2, and L be a D4-type classical Lie algebra over R.

假设R是特征非2的交换幺环,L是R环上的D4型典型李代数,N是李代数L的一个极大幂零子代数。

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.

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。

Let n ≥ 4 be a fixed integer, R be a unital commutative ring of characteristic not 2, and D_n(R) be a D_n-type classical Lie algebra over R.

所以这里很自然的就要考虑其他类型的典型李代数的极大幂零子代数的自同构问题。