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Communications in Algebra Volume 43, 2015 - Issue 10
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Original Articles

Leibniz Algebras Associated to Extensions of sl2

L. M. Camacho Departamento Matemática Aplicada I, Universidad de Sevilla, Sevilla, SpainCorrespondence[email protected]
,
S. Gómez-Vidal Departamento Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain
&
B. A. Omirov Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Pages 4403-4414 | Received 28 Jan 2014, Published online: 06 Jul 2015
 
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Abstract

In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl 2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal generated by the squares of elements of a Leibniz algebra is irreducible over sl 2 and when the dimension of the radical is equal to two.

2010 Mathematics Subject Classification:

Notes

Communicated by I. Shestakov.

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