Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length

Abstract

We describe solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length.

Solvable extensions of the naturally graded quasi-filiform Leibniz algebras

“…is obtained in the following papers: • The classification of the solvable Leibniz algebra with the nilradical L 1,β n is stated in paper [2]. • The classification of the solvable Leibniz algebra with the nilradical L 2,1 n is stated in paper [14].…”

“…The analogue of Mubarakzjanov's result has been applied to the Leibniz algebras in [11], showing the importance of consideration of the nilradical in the case of Leibniz algebras as well. Papers [2,3,11,14,[19][20][21][22] are also devoted to the study of solvable Leibniz algebras by considering the nilradical.…”

Solvable Leibniz superalgebras whose the nilradical has the characteristic sequence $(n-1,1 \ | \ m)$ and nilindex $n+m$

“…The analogue of Mubarakzjanov's result has been applied for Leibniz algebras case in [16], which shows the importance of the consideration of their nilradicals in Leibniz algebras case as well. The papers [1,2,19,20,25,27,39] are also devoted to the classification of solvable Leibniz algebras by considering their nilradicals.…”