Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (06): 1281-1286.

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Properties of Post Lie Superalgebra Structure

WANG Xu, WEI Zhu, ZHANG Qingcheng   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
  • Received:2019-03-21 Online:2019-11-26 Published:2019-11-20
  • Contact: WEI Zhu E-mail:weiz986@nenu.edu.cn

Abstract: Through the definition of post Lie superalgebra, we discussed the basic properties of post Lie superalgebra structure, and gave some existence results of post Lie superalgebra. The  LR superalgebra and left symmetric superalgebra could be constructed by post Lie superalgebra, and the related results of commutative post Lie superalgebra structure were given.

Key words: post Lie superalgebra, LR superalgebra, left symmetric superalgebra

CLC Number: 

  • O152.5