Derivations and Deformations of δ-Jordan Lie Supertriple Systems

Let T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties. Also, we study the low-dimensional cohomology and the coboundary operator of T, and then we investigate the deformations and Nijenhuis operators...

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Main Authors: Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/3295462
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author Shengxiang Wang
Xiaohui Zhang
Shuangjian Guo
author_facet Shengxiang Wang
Xiaohui Zhang
Shuangjian Guo
author_sort Shengxiang Wang
collection DOAJ
description Let T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties. Also, we study the low-dimensional cohomology and the coboundary operator of T, and then we investigate the deformations and Nijenhuis operators of T by choosing some suitable cohomologies.
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institution Kabale University
issn 1687-9120
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language English
publishDate 2019-01-01
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spelling doaj-art-773a61119bc04833a2d7b527c8c6fdcd2025-02-03T01:06:13ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/32954623295462Derivations and Deformations of δ-Jordan Lie Supertriple SystemsShengxiang Wang0Xiaohui Zhang1Shuangjian Guo2School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, ChinaLet T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties. Also, we study the low-dimensional cohomology and the coboundary operator of T, and then we investigate the deformations and Nijenhuis operators of T by choosing some suitable cohomologies.http://dx.doi.org/10.1155/2019/3295462
spellingShingle Shengxiang Wang
Xiaohui Zhang
Shuangjian Guo
Derivations and Deformations of δ-Jordan Lie Supertriple Systems
Advances in Mathematical Physics
title Derivations and Deformations of δ-Jordan Lie Supertriple Systems
title_full Derivations and Deformations of δ-Jordan Lie Supertriple Systems
title_fullStr Derivations and Deformations of δ-Jordan Lie Supertriple Systems
title_full_unstemmed Derivations and Deformations of δ-Jordan Lie Supertriple Systems
title_short Derivations and Deformations of δ-Jordan Lie Supertriple Systems
title_sort derivations and deformations of δ jordan lie supertriple systems
url http://dx.doi.org/10.1155/2019/3295462
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AT xiaohuizhang derivationsanddeformationsofdjordanliesupertriplesystems
AT shuangjianguo derivationsanddeformationsofdjordanliesupertriplesystems