不可分解广义Cartan矩阵的分类新方法

A NEW APPROACH FOR THE CLASSIFICATION OF THE NON-DECOMPOSABLE GENERALIZED CARTAN MATRICES

通过广义Ｃａｒｔａｎ矩阵行列式计算给出不可分解广义Ｃａｒｔａｎ矩阵的分类，而不必用线性不等式的理论。这种方法也可以成为有限维单Ｌｉｅ代数分类的方法。

By means of computing the determinals of generalized Cartan Matrix, a classfication of the non-decomposable generalized Cartan matrices is given without using the theory of non-linear unequality. The approach developed can be used also for the classification of finite-dimensional simple lie algebras.