Generalizing a single involutive automorphism to a finite Abelian group of automorphisms of G, we obtain a homogeneous space called generalized symmetric space and some of its properties.

• 本文把李群的单个对合自同构推广为由李群 G 的一些自同构组成的有限可换群,从而决定了一个广义对称空间,并讨论了它的某些性质。