Maps on upper triangular matrices preserving Lie products

Let F be an arbitrary field with characteristic zero, let T-n be the Lie algebra of all n x n upper triangular matrices over F with the Lie product [A, B] = AB - BA, and let a bijective map phi : T-n --> T-n satisfy phi([A, B]) = [phi(A), phi(B)], A, B is an element of T-n. Then there exist an invertible matrix T is an element of T-n, a function phi : T-n --> F satisfying phi(C) = 0 for every strictly upper triangular matrix C is an element of T-n, and an automorphism f of the field F, such that phi([a(ij)]) = T[f(a(ij))]T-1 + phi([a(ij)])I for all [a(ij)] is an element of T-n, or phi([a(ij)]) = -R(T[f(a(ij))]T-1)(t) R-1 + phi([a(ij)])I for all [a(ij)] is an element of T-n, where R = Sigma(n)(i=1)(-1)(i) E-1,E- n+1-i.