Classification of solvable Leibniz algebras with null-filiform nilradical

By José Manuel Casas, Manuel Ladra, Bakhrom Omirov, I. Karimjanov. 2012

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In this article we classify solvable Leibniz algebras whose nilradical is a null-filiform algebra. We extend the obtained classification to the case when the solvable Leibniz algebra is decomposed as a direct sum of its nilradical, which is a direct sum of null-filiform ideals and a one-dimensional complementary subspace. Moreover, in this case we establish that these ideals are ideals of the algebra as well.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

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