We first prove the theorem on equivariant embedding of symmetric spaces in Lie groups. 首先，我们证明对称空间到李群的等变嵌入定理。
But twisted conjugate actions of Lie groups have closed relation with nonabelian cohomology of cyclic groups with coefficients in Lie groups. 而李群的扭共轭作用与循环群以李群为系数的非交换上同调有非常密切的关系。
