alexa CLASSIFICATION OF SOLVABLE LEIBNIZ ALGEBRAS WITH NATURALL Y GRADED FILIFORM NILRADICAL
Mathematics

Mathematics

Journal of Generalized Lie Theory and Applications

Author(s): JM Casas, M Ladra, BA Omirov, I A Karimdjanov

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In this paper we show that the method for describing solvable Lie algebras with given nilradical by means of non-nilpotent outer derivations of the nilradical is also applicable to the case of Leibniz algebras. Using this method we extend the classification of solvable Lie algebras with naturally graded filiform Lie algebra to the case of Leibniz algebras. Namely, the classification ofsolvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra is obtained.

 

This article was published in arXiv.org and referenced in Journal of Generalized Lie Theory and Applications

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