Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 409-414.

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The Derivation Algebra of the Cartan-type Lie Superalgebra H 

  

  1. 1. Department of Mathematics,Henan Institute of Science and Technology  2. Department of Applied Mathematics,Dalian University of Technology 
  • Received:2005-03-25 Online:2008-09-30 Published:2023-09-22
  • About author:CHEN Yu-zhen(1981- ), female, native of Xuchang, Henan, an assistant of Henan Institute of Science and Technology, engages in modular Lie algebra and Lie superalgebra; WANG Ying(1967- ), female, native of Dalian, Liaoning, an associate professor of Dalian University of Technology, engages in modular Lie algebra and Lie superalgebra.
  • Supported by:
    Supported by the Natural Science Foundation of the Henan Institute of Science and
    Technology(06057)

Abstract: In this paper, the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p ≥ 3 or m ≥ 2 or n ≥ 1. The main result is following: DerFH = adH(H + Fh) ⊕ {(adDi)pt | i = 1,2,··· ,m, t = 1,2,··· ,t-1} .

Key words: Lie superalgebra, derivation algebra

CLC Number: