Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 200-207.

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The Automorphism Group of the Lie Group T(D(VN, F)) 

  

  1. 1. Institute of Contemporary Mathematics, Henan University2. College of Mathematics and Information Science, Henan University

  • Received:2007-01-27 Online:2011-06-30 Published:2023-04-27
  • About author:CHENG Yong-sheng(1973-), male, native of Lankao, Henan, an associated professor of Henan University, Ph.D., engages in Lie theory.
  • Supported by:
    Supported by the National Science Foundation of China(11047030); Supported by the Natural Science Foundation of Henan Provincial Education Department(2010B11003); Supported by the Natural Science Foundation of Henan University(2009YBZR025);

Abstract: In this paper, the authors determine maximal connected automorphism group of the Lie transformation group T(D(VN, F)), which acting on the normal Siegel domain D(VN, F) is simple and transitive, and prove that the maximal connected automorphism group of T(D(VN, F)) is its maximal connected inner automorphism group.


Key words: normal Siegel domain, automorphism group, derivation

CLC Number: