Structrues Of Derivation Algebras Of A Class Of 3-li3 Algebras

N-Lie algebra is a generaliztion of Lie algebra, which is an algebraic system with an n-ary multilinear operation. The n-Lie algebra has its wide applications in geometries, mechanics and string theories. Especially, the derivation algebra of n-Lie algebras plays an important role in applications of n-Lie algebras. But the structural theory of the derivation algebra of n-Lie algebras is imperfectness, we need to find more properties of the structure of the derivation algebras of n-Lie algebras. The paper mainly continues this work. It studied the structure of derivation algebras of a class of 5 dimensional 3-Lie algebras. It discussed the solvability, nilpotency and semisimple structures of inner derivation algebras and derivation algebras of 5 dimensional 3-Lie algebras over Z2 which posses the 4 dimensional derived algebras, and provided the concrete expression of every derivation and inner derivation.The paper consists of three sections. The first section introdued the back ground and development of n-Lie algebras. Section 2 recalled some definitions and results of 3-Lie algebras which are used in the paper. Section 3 studied the structure of derivation algebras.