On low-dimensional filiform Leibniz algebras and their invariants

Abstract

The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show a representative of the orbits.

11 pages

References in corpus (4)

• On classification of complex filiform Leibniz algebras
• On Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)
• On Isomorphism Classes and Invariants of Low Dimensional Complex Filiform Leibniz Algebras (PART 1)
• On isomorphism classes and invariants of low dimensional complex filiform Leibniz algebras (part 2)

Cited by in corpus (3)

• Leibniz algebras associated with representations of filiform Lie algebras
• On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8
• Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type ${\mathcal{L}}^4$