Journal of East China Normal University(Natural Science) >

2020 , Vol. 2020 >Issue 4: 1 - 11

DOI: https://doi.org/10.3969/j.issn.1000-5641.201911017

Mathematics

Cohomology and Nijenhuis operators of Lie supertriple systems

  • GUO Shuangjian
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  • School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

Received date: 2019-04-04

  Online published: 2020-07-20

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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

Cite this article

GUO Shuangjian . Cohomology and Nijenhuis operators of Lie supertriple systems[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(4) : 1 -11 . DOI: 10.3969/j.issn.1000-5641.201911017

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