The concept of Lie-derivation was recently introduced as a generalization of the notion of derivations for non-Lie Leibniz algebras. In this project, we determine the Lie algebras of Lie-derivations of all three-dimensional non-Lie Leibniz algebras. As a result of our calculations, we make conjectures on the basis of the Lie algebra of derivations of Lie-solvable non-Lie Leibniz algebras.
Belanger, Emily H.
"Lie-Derivations of Three-Dimensional Non-Lie Leibniz Algebras,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 22:
2, Article 5.
Available at: https://scholar.rose-hulman.edu/rhumj/vol22/iss2/5