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
ABI
Аннотация
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.
Ҳали таржима қилинмаган