Some Lie Ring Isomorphism

Suppose Kn is a set of all n×n skew-Hermite matrices.which forms a Lie ring under the usual matrix addition and the Lie multiplication as [A, B]= AB-BA, A, B∈Kn.Suppose (?) is a set of all real skew-symmetric matrices, which forms a Lie algebra under the usual Lie multiplication as [A,B] = AB - BA, A, B∈(?). Because the results of Lie ring automorphism can be applied to the Lie algebra,so we can strengthen the understanding and awareness of relevant knowledge of the Lie algebra through the study of Lie ring automorphism. In the 40th years of last century,Master Hua pioneered the mathematical study field of geometry of matrices which is inherited and developed by the well-known mathematician Zhe-Xian Wan academicians.This article is inspired by Hua literature revelation.In Hua's literature the author gives the proof of theorem of affine geometry of rectangular matrices.From this theorem,he introduced the fundamental theorem of projective geometry of rect-angular matrices, the Lie automorphisms of total matrix ring in the sfield whose characteristic is different from 2,3, the Jordan automorphisms of total matrix ring in the sfield whose characteristic is not 2. At present,we have gotten a lot of results about automorphisms over commutative ring and created a number of related liter-atures,especially for the study of automorphism of upper triangular matrix ring.But the study of automorphism of Lie ring is not perfect.The paper characterizes the Lie automorphism of K2 in the chapter 2.The chapter 3 gives the decomposition of BZ-derivation of (?).