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,2013,34(5):569~578
项链李代数的同构与同构群
Automorphisms and Automorphism Groups of Necklace Lie Algebra
  
DOI:
中文关键词:  箭图, 项链字, 项链李代数, 同构
英文关键词:Arrow graph, Necklace word, Necklace Lie algebra, Automorphism
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
Author NameAffiliationE-mail
YU Demin Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan, China. yudeming8640024@126.com 
Chaoqun School of Statistics, Capital University of Economics and Business, Beijing 100070, China. meichaoq@cueb.edu.cn 
GUO Jinyun College of Mathematics and Computing Science, Xiangtan University, Xiangtan 412000, Hunan, China. gjy@xtu.edu.cn 
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中文摘要:
      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.
英文摘要:
      Automorphisms of some special arrow graph are studied, such as, some simple cycles by level addition or vertical addition. In contrast to the previous related method, our method is different and new, namely, the authors take advantage of index arrays to turn the complicated Lie bracket of necklace words into simple operations of a multi-fold set.
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