Description of some classes of Leibniz algebras

• Main Authors: Rakhimov, Isamiddin Sattarovich, Rikhsiboev, Ikrom Mirzarustamovich, Khudoyberdiyev, Abror Khakimovich, Karimjanov, Ikboljon Abdulazizovich
• Format: Article
• Language: English
• Published: Elsevier 2012
• Online Access: http://psasir.upm.edu.my/id/eprint/56265/1/Description%20of%20some%20classes%20of%20Leibniz%20algebras.pdf; http://psasir.upm.edu.my/id/eprint/56265/; http://www.sciencedirect.com/science/article/pii/S0024379512004491

In this paper we describe the isomorphism classes of finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal generated by squares is isomorphic to the direct sum of three-dimensional simple Lie algebra sl2 and a three-dimensional solvable ideal. We choose a basis...