Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 423-429.

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The Nilpotency of Lie Triple Algebras

  

  1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China; Graduate School of the Chinese Academy of Sciences, Beijing 100039, China
  • Received:2005-04-15 Online:2005-12-30 Published:2024-01-08
  • About author:WANG Gui-dong(1978-),male,native of Zibo,Shandong,Ph.D.,engages in mathematical physics.
  • Supported by:
     Supported by NKBRPC(2004CB31800); Supported by NNSFC(10375087);

Abstract: In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.

Key words: Lie , triple , algebra;solvability;nilpotence

CLC Number: