C－子代数的性质及其应用

SOME PROPERTIES OF c-SUBALGEBRAS AND ITS APPLICATIONS

本文得到ｃ－子代数的若干性质，利用这些性质可将实半单Ｌｉｅ代数的讨论化为对有效ｃ－子代数的讨论；利用这些性质也可以证明，是第二类型实单Ｌｉｅ代数，当且仅当是某复单Ｌｉｅ代数的实化；由此猜想，是第二类实单完备Ｌｉｅ代数，当且仅当是某复单完备Ｌｉｅ代数的实化．

In this paper,we obtain some properties of c-subalgebras;Using these properties the discussions of real semisimple algebras are transformed into the discussions of effectve c-subalgebras;Using them,it is proved as well that,is a real simple Lie algebra of ypeⅡ,iff,is realation of certain complex simple Lie algebra.