On the commutativity degree of a finite-dimensional Lie algebra
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866914834435538944 |
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| author | Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen |
| author_facet | Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen |
| contents | In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some relations between the notion of commutativity degree and known concepts in Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the commutativity degree of a finite-dimensional Lie algebra Shamsaki, Afsaneh Erfanian, Ahmad Parvizi, Mohsen Algebraic Geometry Commutative Algebra In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some relations between the notion of commutativity degree and known concepts in Lie algebras. |
| title | On the commutativity degree of a finite-dimensional Lie algebra |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2406.10064 |