Some Results Of Lie Triple Algebras

In this paper, we discuss about some structures of Lie triple algebra. In the first part, we give some preliminary natures about Lie triple algebra, including the definition, homomorphism and isomorphism, direct sum and expansion, derivation and the decomposition of uniqueness of the Lie triple algebra; then in the second part, we get some results about Lie triple derivation of Lie triple algebras; in the third part, we introduced some of the conclusions of the centroid of Lie triple algebras.