Let L be a finite-dimensional Lie algebra and I, J two ideals of L. Let \(\mathrm {Der}_J^I(L)\) denote the set of all derivations of L whose images are in I and send J to zero and let \(\mathrm {Der}^n_c(L)\) denote the set of all derivations \(\alpha \) of L for which \(\alpha (x)\in [x,L^n]\) for all \(x\in L\). In this paper, we have shown that if L and H are two n-isoclinic Lie algebras, then there exists an isomorphism from \(\mathrm {Der}^{L^{n+1}}_{Z_n(L)}(L)\) to \(\mathrm {Der}^{H^{n+1}}_{Z_n(H)}(H)\). Also, we give necessary and sufficient conditions under which \(\mathrm {Der}^n_c(L)\) is equal to a certain special subalgebra of the derivation algebra of L.

设L是一个有限维李代数，I , J是L 的两个理想。让\（\ mathrm {明镜} _J ^ I（L）\）表示集合的所有推导的大号其图像是在我和发送Ĵ到零，让\（\ mathrm {明镜} ^ n_c（L）\）表示该组所有推导\（\阿尔法\）的大号为其\（\α（x）的\在[X，L ^ N] \）的所有\（在长x \ \） 。在本文中，我们已经证明如果L和H是两个n-等斜李代数，则存在从\(\mathrm {Der}^{L^{n+1}}_{Z_n(L)}(L)\)到\(\mathrm {Der}^{ H^{n+1}}_{Z_n(H)}(H)\)。此外，我们给出了\(\mathrm {Der}^n_c(L)\)等于L的推导代数的某个特殊子代数的充分必要条件。