Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914641863507968 |
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| author | Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar Kushwaha, Seema |
| author_facet | Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar Kushwaha, Seema |
| contents | In this article, we discuss Lie nilpotency and Lie solvability of non-abelian tensor product of multiplicative Lie algebras. In particular, for giving information concerning the Lie nilpotency (or Lie solvability) of either multiplicative Lie algebras $G$ or $H,$ the non-abelian tensor product $ \frac{G\otimes H}{I}$ is Lie nilpotent (or Lie solvable), for some ideal $I$ of ${G\otimes H}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07089 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar Kushwaha, Seema Group Theory In this article, we discuss Lie nilpotency and Lie solvability of non-abelian tensor product of multiplicative Lie algebras. In particular, for giving information concerning the Lie nilpotency (or Lie solvability) of either multiplicative Lie algebras $G$ or $H,$ the non-abelian tensor product $ \frac{G\otimes H}{I}$ is Lie nilpotent (or Lie solvable), for some ideal $I$ of ${G\otimes H}$. |
| title | Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras |
| topic | Group Theory |
| url | https://arxiv.org/abs/2401.07089 |