| 项链李代数的结构 |
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| 引用本文： | 梅超群,余德民.项链李代数的结构[J].数学的实践与认识,2012,42(1):195-204. |
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| 作者姓名： | 梅超群 余德民 |
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| 作者单位： | 1. 首都经济贸易大学统计学院,北京,100070
2. 湖南理工学院数学学院,湖南岳阳,414000 |
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| 基金项目： | 国家自然科学基金(10671061) |
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| 摘 要： | 研究项链李代数的结构,定义了箭图Q的重箭图Q循环上的映射σ,证明了这是一个李运算.引入左右指标数组概念,利用它们把项链李代数N_Q的基分成了5类,并构造了项链李代数的一些有趣的子代数.
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| 关 键 词： | 箭图 项链字 项链李代数 |
The Structure of Necklace Lie Algebra |
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| MEI Chao-qun
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YU De-min.The Structure of Necklace Lie Algebra[J].Mathematics in Practice and Theory,2012,42(1):195-204. |
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| Authors: | MEI Chao-qun YU De-min |
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| Institution: | 1.School of Statistics,Capital University of Economics and Business,Beijing 100070,China) (2.Department of Mathematics,Hunan Institute of Science and Technology,Yueyang 414000,China) |
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| Abstract: | We study the structure of necklace lie algebra,we defined the mappingσon circle in double quiver■ of a quiver Q,and gave a strict defition of bracket operation in Lie algebra,then prove it is a Lie bracket.we introduced the left and right index arrays of an necklace word.Using them,we divided the necklace words into 5 classes,and construct some interesting subalgebras. |
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| Keywords: | quiver necklace word necklace lie algebra |
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