| In this paper, we study the problem when the sentriods of Lie algebras are small. The main results are the following:(1) We obtain the centriods of a type of nilpotent Lie algebra is not small by the relationship between the cetriods and the basis.(2) We obtain the centriods of filiform Lie algebra is small and the centriods of L_n, Q_n, R_n, W_n is aslo small.(3) We obtain the struction of the centriods of some other impotant Lie algebras. |