(2)We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension,thus we solve its classification in the sense of cohomology;

• (2)我们给出了有限维对称自对偶色李代数可以双扩张的充分条件,从而在上同调意义下解决了这类色李代数的分类问题;