On Representations of Symmetric Leibniz Algebras

Abstract

We give a new and useful approach to study the representations of symmetric Leibniz algebras. Using this approach, we obtain some results on the representations of these algebras.

Omni-Representations of Leibniz Algebras

“…Especially, faithful representations of Leibniz algebras were studied by Barnes [3], conformal representations of Leibniz algebras were studied by Kolesnikov [13], dual representations of Leibniz algebras were given in [21] in their study of Leibniz bialgebras. Representations of symmetric Leibniz algebras were studied by Benayadi [4].…”

Maurer-Cartan characterizations and cohomologies of compatible Lie algebras

“…Especially, faithful representations of Leibniz algebras were studied by Barnes in [3]; conformal representations of Leibniz algebras were studied by Kolesnikov in [13]; dual representations of Leibniz algebras were given in [21] in their study of Leibniz bialgbras. Representations of symmetric Leibniz algebras were studied by Benayadi in [4].…”