On G-Derivations of Lie-Yamaguti Algebras

Abstract

This paper primarily deals with the study of G-derivations associated with Lie-Yamaguti algebras. Taking G as an automorphism group, the concept of G-derivations, which is a derivation under both the bilinear and trilinear operations is defined for Lie-Yamaguti algebras. Then some important properties of G-derivations are studied along with their relationship with other generalized derivations of Lie-Yamaguti algebras.

Comments are welcome

References in corpus (2)

• Modules over quandle spaces and representations of Lie-Yamaguti algebras
• Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras