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. Thanks to previous results, the problem is reduced to the description of solvable Leibniz algebras with nilradicals $M^{1,\delta },M^{2,\lambda },M^{3,1}$, and their derivations.

Keywords:

• Abelian algebra
• Leibniz algebra
• Lie algebra
• maximal length
• nilradical
• gradation
• quasi-filiform algebra
• solvable algebra

2010 Mathematics Subject Classification:

• 17A32
• 17A36
• 17B30
• 17B56

Additional information

Funding

This work was supported by Agencia Estatal de Investigación (Spain), grant MTM2016-79661-P (European FEDER support included, UE).