On the Schur multipliers of Lie superalgebras of maximal class
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910679511859200 |
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| author | Rostami, Z. Araghi Niroomand, P. |
| author_facet | Rostami, Z. Araghi Niroomand, P. |
| contents | We categorize all non-abelian nilpotent Lie superalgebras of dimension $(m|n)$, where $1\leq s(L)\leq 10$, and $s(L)$ is a non-negative integer defined by Nayak. Furthermore, we classify the structure of all Lie superalgebras of dimension at most five such that $\dim{L^2}=\dim\mathcal{M}(L)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05415 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Schur multipliers of Lie superalgebras of maximal class Rostami, Z. Araghi Niroomand, P. Rings and Algebras Commutative Algebra 17B01, 17B05 We categorize all non-abelian nilpotent Lie superalgebras of dimension $(m|n)$, where $1\leq s(L)\leq 10$, and $s(L)$ is a non-negative integer defined by Nayak. Furthermore, we classify the structure of all Lie superalgebras of dimension at most five such that $\dim{L^2}=\dim\mathcal{M}(L)$. |
| title | On the Schur multipliers of Lie superalgebras of maximal class |
| topic | Rings and Algebras Commutative Algebra 17B01, 17B05 |
| url | https://arxiv.org/abs/2309.05415 |