Document Type: Research Note

Author

• Seyed R. Hejazi

Department of Mathematics, Shahrood University, Shahrood, IRAN.

Abstract

In this paper, a useful classification of all Lie subalgebras of a given Lie algebra up to an inner automorphism is presented. This method can be regarded as an important connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras.

Keywords

• Lie algebra
• vector fields
• optimal system