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.
Hejazi, S. R. (2014). CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM. Journal of Algebraic Systems, 1(2), 117-133. doi: 10.22044/jas.2014.231
MLA
Seyed R. Hejazi. "CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM", Journal of Algebraic Systems, 1, 2, 2014, 117-133. doi: 10.22044/jas.2014.231
HARVARD
Hejazi, S. R. (2014). 'CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM', Journal of Algebraic Systems, 1(2), pp. 117-133. doi: 10.22044/jas.2014.231
VANCOUVER
Hejazi, S. R. CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM. Journal of Algebraic Systems, 2014; 1(2): 117-133. doi: 10.22044/jas.2014.231