Derivation Algebras of Restricted Hom-Lie Triple Systems

Abstract

In this paper, we investigate the properties of derivations of restricted Hom-Lie triple systems. By giving the concepts of derivations, generalized derivations, centroids and Hom-p-subsystems, we obtain some good results on generalized derivation algebras and their subalgebras, which including the subspace ℧ satisfying some conditions in the linear transformation End(L) is a restricted Hom-Lie triple system, the generalized derivation is a Hom-p-subsystem of ℧ and the central derivation is the intersection of the centroid and the derivation. The novelty of this paper is to discuss the derivation properties of Hom-Lie triple systems on the field 𝔽 of characteristic p, which makes the derivation structure of restricted Hom-Lie triple systems more complete.