TY - JOUR ID - 231 TI - CLASSIFICATION OF LIE SUBALGEBRAS UP TO AN INNER AUTOMORPHISM JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Hejazi, Seyed R. AD - Department of Mathematics, Shahrood University, Shahrood, IRAN. Y1 - 2014 PY - 2014 VL - 1 IS - 2 SP - 117 EP - 133 KW - Lie algebra KW - vector fields KW - optimal system DO - 10.22044/jas.2014.231 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_231.html L1 - https://jas.shahroodut.ac.ir/article_231_7c2bfe95b378521e2f2c00a52d821f78.pdf ER -