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arXiv · 1202.5275

Classification of solvable Leibniz algebras with null-filiform nilradical

J. M. Casas·M. Ladra·B. A. Omirov·I. A. Karimjanov
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Abstract

In this paper 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.

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J. M. Casas, M. Ladra, B. A. Omirov, I. A. Karimjanov. 2012-02-23. Classification of solvable Leibniz algebras with null-filiform nilradical. https://arxiv.org/abs/1202.5275

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