In this paper,we give the characteristic properties of a class lie algbras with a symetric invariant non-degenrate,bilinear form and a suffient condition.

• 给出一类带有非退化对称不变双线性型及对称自对偶李代数的分解唯一性的一个充分条件；并讨论此类李代数的特殊性质.