We explore the role derivations of a Lie triple system Τ play in the nilpotence and semisimplicity of T. In particular analogous to two Theorems of Jacobson for Lie algebras, (by giving a sufficient condition for the nilpotence of T in terms of the existence of an invertible derivation, and in terms of the existence of certain automorphisms), are stated. The connections between the Lie algebra of derivations of Τ and the semisimplicity of T are also studied.
AMS Subject Classifications (2020): 17A30, 17A40, 17B30, 17D99, 14D06, 14L30.