Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
In chapter one, we provide some basic known definitions and important conclusions of projective modules, IF rings and semi-simple rings, and so on, which are needed in the paper.
在第一章中我们给出了本文所需用的一些基本定义，以及给出了有关投射模、IF环和半单环等的一些重要已知结论。
In chapter one, we provide some basic known definitions and important conclusions of projective modules, IF rings and semi-simple rings, and so on, which are needed in the paper.
在第一章中我们给出了本文所需用的一些基本定义，以及给出了有关投射模、IF环和半单环等的一些重要已知结论。
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