Tensor square and isoclinic extensions of multiplicative Lie algebras
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917684493418496 |
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| author | Singh, Dev Karan Kumar, Amit Upadhyay, Sumit Kumar Kumar, Shiv Datt |
| author_facet | Singh, Dev Karan Kumar, Amit Upadhyay, Sumit Kumar Kumar, Shiv Datt |
| contents | In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extensions and proved several results for multiplicative Lie algebras. Consequently, we demonstrate that covers of a multiplicative Lie algebra are mutually isoclinic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02246 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tensor square and isoclinic extensions of multiplicative Lie algebras Singh, Dev Karan Kumar, Amit Upadhyay, Sumit Kumar Kumar, Shiv Datt Group Theory In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extensions and proved several results for multiplicative Lie algebras. Consequently, we demonstrate that covers of a multiplicative Lie algebra are mutually isoclinic. |
| title | Tensor square and isoclinic extensions of multiplicative Lie algebras |
| topic | Group Theory |
| url | https://arxiv.org/abs/2406.02246 |