| ON SUBALGEBRAS OF CHEVALLEY ALGEBRAS CONCERNING SUBFIELDS |
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| 作者姓名： | ZHA Jianguo |
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| 作者单位： | Department of Applied Mathematics，Tongji University，Shanghai 200092，China |
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| 摘 要： | ＯＮＳＵＢＡＬＧＥＢＲＡＳＯＦＣＨＥＶＡＬＬＥＹＡＬＧＥＢＲＡＳＣＯＮＣＥＲＮＩＮＧＳＵＢＦＩＥＬＤＳ￥ＺＨＡＪｉａｎｇｕｏ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｏｎｇｊｉＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２０００９２...
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ON SUBALGEBRAS OF CHEVALLEY ALGEBRAS CONCERNING SUBFIELDS |
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| ZHA Jianguo.ON SUBALGEBRAS OF CHEVALLEY ALGEBRAS CONCERNING SUBFIELDS[J].Journal of Systems Science and Complexity,1996(1). |
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| Authors: | ZHA Jianguo |
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| Abstract: | 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. |
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| Keywords: | Semi-simple Lie algebras subalgebras |
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