Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L4

Abstract

For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type L 4 introduced by Camacho, Gómez, González and Omirov, all the possible right solvable indecomposable extensions over the field C are constructed.

Solvable extensions of the naturally graded quasi-filiform Leibniz algebras

“…• The classifications of the solvable Leibniz algebra with the nilradicals L 1 n , L 2 n , L 3 n , L 4 n and L 5 n are stated in papers in papers [19], [20], [19], [21] and [22], respectively.…”

“…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.…”