Transposed Poisson structures on quasi-filiform Lie algebras of maximum length
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911987922894848 |
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| author | Abdurasulov, Kobiljon Deraman, Fatanah Saydaliyev, Azamat Sapar, Siti Hasana |
| author_facet | Abdurasulov, Kobiljon Deraman, Fatanah Saydaliyev, Azamat Sapar, Siti Hasana |
| contents | This article will discussing on $\frac{1}{2}$-derivations of quasi-filiform Lie algebras of maximum length. The non-trivial transposed Poisson algebras with the quasi-filiform Lie algebras of maximum length are constructed by using $\frac{1}{2}$-derivations of Lie algebras. We have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14001 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transposed Poisson structures on quasi-filiform Lie algebras of maximum length Abdurasulov, Kobiljon Deraman, Fatanah Saydaliyev, Azamat Sapar, Siti Hasana Rings and Algebras This article will discussing on $\frac{1}{2}$-derivations of quasi-filiform Lie algebras of maximum length. The non-trivial transposed Poisson algebras with the quasi-filiform Lie algebras of maximum length are constructed by using $\frac{1}{2}$-derivations of Lie algebras. We have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra. |
| title | Transposed Poisson structures on quasi-filiform Lie algebras of maximum length |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2404.14001 |