Classification of solvable Leibniz algebras with naturally graded filiform nilradical

2012/03/21 by J. M. Casas, Casas, J. M., M. Ladra +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · #17A32 #17A36 #17A65 #17B30 #Advanced Topics in Algebra #Biological Activity of Diterpenoids and Biflavonoids #FOS: Mathematics #Rings and Algebras (math.RA) #Synthesis and properties of polymers

paper · pdf · doi:10.48550/arxiv.1203.4772

openalex publication_date 2012/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 of solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra is obtained.

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