Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type ${\mathcal{L}}^2$

Abstract

For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type ${\mathcal{L}}^2$ introduced by Camacho, Gómez, González and Omirov, all possible right and left solvable indecomposable extensions over the field $\mathbb{R}$ are constructed so that the algebra serves as the nilradical of the corresponding solvable Leibniz algebras we find in the paper.

50 pages, 4 tables Section 1, 2 and 3 are the same as in arXiv:1906.06213, because the author continues the solvable extension work, but for a different nilpotent Leibniz algebra. That is why even the paper is organized the same way

References in corpus (1)

• Classification of 4-dimensional nilpotent complex Leibniz algebras