CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER 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 dierential geometry and algebra and has many applications in dierent elds of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras.