Almost inner derivations of some nilpotent Leibniz algebras

Abstract

We investigate almost inner derivations of some finite-dimensional nilpotent Leibniz algebras. We show the existence of almost inner derivations of Leibniz filiform non-Lie algebras differing from inner derivations, we also show that the almost inner derivations of some filiform Leibniz algebras containing filiform Lie algebras do not coincide with inner derivations.

This paper accepted to Journal of Siberian Federal University. Mathematics & Physics, 11 pages