Description of some classes of Leibniz algebras

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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Rakhimov, Isamiddin Sattarovich, Rikhsiboev, Ikrom Mirzarustamovich, Khudoyberdiyev, Abror Khakimovich, Karimjanov, Ikboljon Abdulazizovich
स्वरूप: लेख
भाषा:English
प्रकाशित: Elsevier 2012
ऑनलाइन पहुंच:http://psasir.upm.edu.my/id/eprint/56265/1/Description%20of%20some%20classes%20of%20Leibniz%20algebras.pdf
विवरण
सारांश: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 of the isomorphism classes' representatives and give explicit multiplication tables.