On the values of commutativity degree of Lie algebras
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916287344541696 |
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| author | Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen |
| author_facet | Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen |
| contents | In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1\qk for all q greater than 2 and a positive integer k. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the values of commutativity degree of Lie algebras Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen Algebraic Geometry Commutative Algebra In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1\qk for all q greater than 2 and a positive integer k. |
| title | On the values of commutativity degree of Lie algebras |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2406.10077 |