摘要
ＯＮＳＵＢＡＬＧＥＢＲＡＳＯＦＣＨＥＶＡＬＬＥＹＡＬＧＥＢＲＡＳＣＯＮＣＥＲＮＩＮＧＳＵＢＦＩＥＬＤＳ￥ＺＨＡＪｉａｎｇｕｏ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｏｎｇｊｉＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２０００９２...
For any field F of characteristic zero,by g(F) we denote Chevalley algebras of the take of A-G, which are classical simple Lie algebras associated with Cartan matrices.Let X be an algebraically closed field of characteristic zero and k any subfield of K. We attempt to prove a conjugacy theorem:Viewed as Lie algebras over k,any k-subalgebras of g(K),which are isomorphic to g(k), are conjugate under automorphisms of g(X).In the present paper we have proved that the conjugacy theorem is true for Chevalley algebras of the types of A., B2, Cd, E6 and G2.
