Author/Authors :
Abdeljelil, Amine Ben Department of Mathematics - University of South Florida, U.S.A. , Elhamdadi, Mohamed Department of Mathematics - University of South Florida, U.S.A. , Makhlouf, Abdenacer Laboratoire de Mathématiques - Informatique et Applications - Université de Haute Alsace, France
Abstract :
We study derivations of ternary Lie algebras. Precisely, we investigate the relation between derivations of Lie algebras and the induced ternary
Lie algebras. We also explore the spaces of quasi-derivations, the centroid and
the quasi-centroid and give some properties. Finally, we compute these spaces
for low dimensional ternary Lie algebras g.
