Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical

ABSTRACT

The present article is a part of the study of solvable Leibniz algebras with a given nilradical. In this paper solvable Leibniz algebras, whose nilradicals is naturally graded p-filiform non-Lie Leibniz algebra $(n-p\ge 4)$ and the complemented space to nilradical has maximal dimension, are described up to isomorphism. Moreover, among obtained algebras we indicate the rigid and complete algebras.

KEYWORDS:

• Leibniz algebra
• natural gradation
• p-filiform algebra
• solvability
• nilradical
• derivation
• the second group of cohomology

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 17A32
• 17A36
• 17B30
• 17B56

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

L. M. Camacho  http://orcid.org/0000-0002-0232-643X

Additional information

Funding

The work was partially supported by Ministerio de Economía y Empresa (Spain), grant MTM2016- 79661-P (European FEDER support included, UE).