东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2010, Vol. 31 ›› Issue (6): 906-908.DOI: -

• 论著 • 上一篇    下一篇

一类单李代数的自同构群

刘建波;王新心;张艳艳;   

  1. 东北大学秦皇岛分校;
  • 收稿日期:2013-06-20 修回日期:2013-06-20 出版日期:2010-06-15 发布日期:2013-06-20
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    中央高校基本科研业务费资助项目(N090323007)

The automorphism group of a class of simple Lie algebra

Liu, Jian-Bo (1); Wang, Xin-Xin (1); Zhang, Yan-Yan (1)   

  1. (1) Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
  • Received:2013-06-20 Revised:2013-06-20 Online:2010-06-15 Published:2013-06-20
  • Contact: Liu, J.-B.
  • About author:-
  • Supported by:
    -

RichHTML

1

PDF (PC)

963

摘要： 基于对一类作为单结合代数的q-量子环面的自同构和反自同构的研究,通过分析与之关联的矩阵的具体形式,得出结论:与自同构相关联的矩阵只有两类,而p≠2时不存在反自同构,p=2时与反自同构相关联的矩阵也只有两类.从而决定了这类q-量子环面的自同构和反自同构的形状,最终分别对于这两种情形,确定了与这类q-量子环面相对应的李代数的自同构群.

关键词: q-量子环面, 李代数, 自同构, 反自同构, 自同构群

Abstract: Based on the study on the automorphisms and anti-automorphisms of a class of simply associative q-quantum tori and analyzing the matrices related to them, a conclusion is drawn that there are only two classes of matrices related to the automorphisms, while no anti-automorphism is found when p≠2 and only two classes of matrices related to the anti-automorphisms when p=2 as well. Therefore, the automorphisms and anti-automorphisms of such a class of simply associative algebra are determined and, consequently, the automorphism group of Lie algebra related to the class of q-quantum tori is determined.

中图分类号: