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.

Author Bio

Emily Howe Belanger grew up in Conyers, Georgia where she attended Heritage High School. She then attended Georgia College and State University, where she graduated in May of 2020. Emily is working toward her Master's degree in Secondary Mathematics Education at Duke University with the goal of becoming a high school math teacher.