Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type $\mathcal{L}^4$

Abstract

For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type $\mathcal{L}^4$ introduced by Camacho, G\'{o}mez, Gonz\'{a}lez and Omirov, all the possible right solvable indecomposable extensions over the field $\Bbb C$ are constructed.