Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (3): 513-518.

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Deformation of 3-Lie 2-Algebras

WANG Chunyue1, ZHANG Shuang2, ZHANG Qingcheng3   

  1. 1. Faculty of Applied Sciences, Jilin Engineering Normal University, Changchun 130052, China;
    2. Department of Basic Science, Jilin Jianzhu University, Changchun 130118, China;
    3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2020-08-24 Online:2021-05-26 Published:2021-05-23

Abstract: Firstly, the definition of the representation of 3-Lie 2-algebras was given. Secondly, the definition of 2-cocycle of 3-Lie 2-algebras was given by using the representation. Finally, the necessary and sufficient conditions of 1-parameter infinitesimal deformations of 3-Lie 2-algebras were given.

Key words: 3-Lie 2-algebras, representation, 2-cocycle, deformation

CLC Number: 

  • O152.5