Classification of solvable Leibniz algebras with naturally graded filiform nilradical
J. M. CasasDpto. de Matemática Aplicada I, Universidad de Vigo, 36005 Pontevedra, SpainM. LadraDepartamento de Álgebra, Universidad de Santiago, 15782 Santiago, SpainB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, 29, Do'rmon Yo'li Street, 100125 Tashkent, UzbekistanI. A. KarimjanovInstitute of Mathematics, National University of Uzbekistan, 29, Do'rmon Yo'li Street, 100125 Tashkent, Uzbekistan
ABI
Annotatsiya
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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