Classification of solvable Leibniz algebras with naturally graded filiform nilradical

Details Classification of solvable Leibniz algebras with naturally graded filiform nilradical Classification of solvable Leibniz algebras with naturally graded filiform nilradical

2012-03-21

arxiv.org/abs/1203.4772v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

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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