| 项链李代数的同构与同构群 |
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| 引用本文： | 余德民,梅超群,郭晋云. 项链李代数的同构与同构群[J]. 数学年刊A辑(中文版), 2013, 34(5): 569-578 |
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| 作者姓名： | 余德民 梅超群 郭晋云 |
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| 作者单位： | 湖南理工学院数学系, 湖南 岳阳 414000.;首都经济贸易大学统计学院, 北京 100070.;湘潭大学数学与计算机学院, 湖南 湘潭 412000. |
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| 基金项目： | 湖南省自然科学基金 (No.10JJ6013) 和湖南省重点建设学科建设项目 |
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| 摘 要： | 研究了一些特殊箭图的同构,这些特殊箭图包括垂直叠加的箭图和水平叠加的箭图. 跟以前的研究方法相比, 文中的研究方法是不同的和新颖的, 即利用指标数组把复杂的李运算转换为多重指标集的运算.
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| 关 键 词： | 箭图 项链字 项链李代数 同构 |
Automorphisms and Automorphism Groups of Necklace Lie Algebra |
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| YU Demin,Chaoqun and GUO Jinyun. Automorphisms and Automorphism Groups of Necklace Lie Algebra[J]. Chinese Annals of Mathematics, 2013, 34(5): 569-578 |
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| Authors: | YU Demin Chaoqun GUO Jinyun |
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| Affiliation: | Department of Mathematics, Hunan Institute of Science and Technology,Yueyang 414000, Hunan, China.;School of Statistics, Capital University of Economics and Business,Beijing 100070, China.;College of Mathematics and Computing Science, Xiangtan University, Xiangtan 412000, Hunan, China. |
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| Abstract: | Automorphisms of some special arrow graph are studied, such as, some simplecycles by level addition or vertical addition. In contrast to the previous related method, ourmethod is different and new, namely, the authors take advantage of index arrays to turn thecomplicated Lie bracket of necklace words into simple operations of a multi-fold set. |
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| Keywords: | Arrow graph Necklace word Necklace Lie algebra Automorphism |
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