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Leibniz Algebras Associated to Extensions of<i>sl</i><sub>2</sub>

L.M. CamachoDepartamento Matemática Aplicada I , Universidad de Sevilla , Sevilla , SpainS. Gómez-VidalDepartamento Matemática Aplicada I , Universidad de Sevilla , Sevilla , SpainB. A. OmirovInstitute of Mathematics , National University of Uzbekistan , Tashkent , Uzbekistan

Communications in Algebrajournal2015en

ABI

Annotatsiya

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.

Mavzular

Advanced Topics in Algebra Rings, Modules, and Algebras Algebraic structures and combinatorial models

Identifikatorlar

DOI: 10.1080/00927872.2014.946139

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