Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2010, Vol. 31 ›› Issue (6): 906-908.DOI: -

• OriginalPaper • Previous Articles     Next Articles

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.
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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.

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