On Nijenhuis Lie triple systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916155416903680 |
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| author | Guo, Shuangjian Mondal, Bibhash Saha, Ripan |
| author_facet | Guo, Shuangjian Mondal, Bibhash Saha, Ripan |
| contents | In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our study focuses on the cohomology of Nijenhuis Lie triple systems and demonstrates how abelian extensions of Nijenhuis Lie triple systems are related to cohomology groups. Additionally, we define Nijenhuis Lie triple 2-systems and also classify `strict' and `skeletal' Nijenhuis Lie triple 2-systems in terms of crossed modules and the cohomology of Nijenhuis Lie triple systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Nijenhuis Lie triple systems Guo, Shuangjian Mondal, Bibhash Saha, Ripan Rings and Algebras In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our study focuses on the cohomology of Nijenhuis Lie triple systems and demonstrates how abelian extensions of Nijenhuis Lie triple systems are related to cohomology groups. Additionally, we define Nijenhuis Lie triple 2-systems and also classify `strict' and `skeletal' Nijenhuis Lie triple 2-systems in terms of crossed modules and the cohomology of Nijenhuis Lie triple systems. |
| title | On Nijenhuis Lie triple systems |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2403.06121 |