摘要：Let F be a eld of zero characteristic, let Nn(F) denote the algebra of nn strictly uppertriangular matrices with entries in F, and let f : Nn(F) ! Nn(F) be a non-additive Lie centralizerof Nn(F), that is, a map satisfying that f([X; Y ]) = [f(X); Y ] for all X; Y 2 Nn(F). We prove thatf(X) = X + (X) where 2 F and is a map from Nn(F) into its center Z (Nn(F)) satisfyingthat ([X; Y ]) = 0 for every X; Y in Nn(F).
