CLASSIFICATION OF LIE SUBALGEBRAS UP TO ANINNER AUTOMORPHISM

In this paper, a useful classi cation of all Lie sub- algebras of a given Lie algebra up to an inner automorphism is presented. This method can be regarded as an important con- nection between di erential geometry and algebra and has many applications in di erent elds of athematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras.