| 子空间均为子代数的李代数的若干性质 |
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| 引用本文： | 王琦,白喜梅.子空间均为子代数的李代数的若干性质[J].河北大学学报(自然科学版),2010,30(2). |
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| 作者姓名： | 王琦 白喜梅 |
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| 作者单位： | 1. 拉萨师范高等专科学校,数学系,西藏,拉萨,850007
2. 河北大学数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 确定了S.A.(即子空间均为子代数)李代数的结构与唯一性,同构,导子代数,自同构群及不变量;同时得到S.A.李代数是完备李代数的一个充分必要条件.
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| 关 键 词： | S.A.李代数 导子代数 自同构群 不变量 |
Some Properties of Lie Algebras with any Subspaces Being Subalgebras |
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| WANG Qi,BAI Xi-mei.Some Properties of Lie Algebras with any Subspaces Being Subalgebras[J].Journal of Hebei University (Natural Science Edition),2010,30(2). |
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| Authors: | WANG Qi BAI Xi-mei |
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| Institution: | 1.Department of Mathematics;Lhasa Teachers' College;Lhasa 850007;China;2.College of Mathematics and Computer Science;Hebei University;Baoding 071002;China |
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| Abstract: | The structure and its uniqueness,isomorphism,derivations algebra,automorphism group and invariants of S.A.(i.e.any subspaces are subalgebras)Lie algebras were determined.A sufficient and necessary condition of complete S.A.Lie algebras were obtained. |
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| Keywords: | S A Lie algebras derivations algebra automorphism group invariants |
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