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S~7 WITHOUT ANY CONSTRUCTION OF LIE GROUP

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【作者】 周坚徐森林

【Author】 ZHOU JIAN XU SEN-LIN(Department of Mathematics, University of Science and Technology of China, Hefei 230027, PRC)

【机构】 Department of MathematicsUniversity of Science and Technology of ChinaHefei 230027PRCPRC

【摘要】 <正> At first we describe 8 lemmas which are known. Lemma 1. A connected compact Lie group G is a multiplicative product of a center C(G) and connected simple normal subgroups G1,…, G3, i. e. G=C(G)·G1…G3, where the subgroup G*=G1…G3 of G is connected semisimple normal subgroup, every Gi is non-commutative and this decomposition is unique under not counting their order.

【关键词】 subgroupconnectedcommutativemultiplicativeCartan口甲孙阳
  • 【文献出处】 Chinese Science Bulletin ,科学通报(英文版) , 编辑部邮箱 ,1989年23期
  • 【下载频次】8
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