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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Language: | English |
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2019-01-01
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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. |
format | Article |
id | doaj-art-773a61119bc04833a2d7b527c8c6fdcd |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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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