| 关于五维RDS型李代数的一些结果 |
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| 引用本文： | 李霞,宁晓艳,张娟娟,王宪栋.关于五维RDS型李代数的一些结果[J].青岛大学学报(自然科学版),2009,22(1):12-14. |
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| 作者姓名： | 李霞 宁晓艳 张娟娟 王宪栋 |
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| 作者单位： | 青岛大学数学科学学院,青岛,266071 |
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| 摘 要： | 通过对李代数的理想格性质的讨论来研究李代数的结构。根据理想格满足的一些条件,对四维可解RDS型李代数部分结论进行了修正。通过对一维中心的五维不可解李代数的讨论,确定它不是RDS型李代数。
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| 关 键 词： | 理想格 李代数 RDS型李代数 |
Some Results About 5-dimensional RDS Type Lie Algebras |
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| LI Xia,NING Xiao-yan,ZHANG Juan-juan,WANG Xian-dong.Some Results About 5-dimensional RDS Type Lie Algebras[J].Journal of Qingdao University(Natural Science Edition),2009,22(1):12-14. |
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| Authors: | LI Xia NING Xiao-yan ZHANG Juan-juan WANG Xian-dong |
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| Institution: | College of Mathematics;Qingdao University;Qing dao 266071;China |
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| Abstract: | The structure of a Lie algebra is discussed by studying the property about lattice of its ideals.Some results about 4-dimensional solvable RDS-type Lie Algebras are modified according to the properties of the lattice of its ideals.The five-dimensional unsolvable lie algebra whose central dimensional is 1 is discussed,and it is not RDS-type Lie algebra. |
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| Keywords: | ideal lattice Lie algebra RDS-type Lie algebra |
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