On the condition of the order of a periodic derivation in low dimensional complex Leibniz algebras

Puntos clave

• The aim is to explore low dimensional complex Leibniz algebras with periodic derivations and characterize their properties.
• Investigation of finite dimensional complex Leibniz algebras
• Characterization of periodic derivations
• Mathematical proofs regarding algebraic structure
• Finite dimensional complex Leibniz algebras with periodic derivations are discovered to be abelian or at most 2-class nilpotent.
• The order of a periodic derivation in these algebras is divisible by 6.

Resumen