Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (4): 1-11.doi: 10.3969/j.issn.1000-5641.201911017

• Mathematics • Previous Articles     Next Articles

Cohomology and Nijenhuis operators of Lie supertriple systems

GUO Shuangjian   

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
  • Received:2019-04-04 Published:2020-07-20

Abstract: We first introduce the notion of representations of a Lie supertriple system and present associated properties. We also study low dimensional cohomology and the coboundary operator of the Lie supertriple system. Lastly, we investigate the deformations and Nijenhuis operators of the Lie supertriple system by choosing suitable cohomology.

Key words: Lie supertriple system, representation, cohomology, Nijenhuis operator

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