Cohomology of $n$-Lie algebras in Loday-Pirashvili category
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929425480679424 |
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| author | Zhang, Tao |
| author_facet | Zhang, Tao |
| contents | In this article, we present the concept of $n$-Lie algebras in the Loday-Pirashvili category. We examine the representation and cohomology theory of $n$-Lie algebras in this category, and also explore their applications in infinitesimal deformation and abelian extension theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03692 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cohomology of $n$-Lie algebras in Loday-Pirashvili category Zhang, Tao Rings and Algebras Representation Theory 17A32, 17A42, 17B56 In this article, we present the concept of $n$-Lie algebras in the Loday-Pirashvili category. We examine the representation and cohomology theory of $n$-Lie algebras in this category, and also explore their applications in infinitesimal deformation and abelian extension theory. |
| title | Cohomology of $n$-Lie algebras in Loday-Pirashvili category |
| topic | Rings and Algebras Representation Theory 17A32, 17A42, 17B56 |
| url | https://arxiv.org/abs/2306.03692 |