Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length
The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. We have also established commutative assoc...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Pleiades Publishing
2025
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| Online Access: | http://psasir.upm.edu.my/id/eprint/117490/ http://psasir.upm.edu.my/id/eprint/117490/1/117490.pdf |
| _version_ | 1848867263271141376 |
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| author | Sapar, Siti Hasana Saydaliyev, Azamat Deraman, Fatanah Abdurasulov, K. |
| author_facet | Sapar, Siti Hasana Saydaliyev, Azamat Deraman, Fatanah Abdurasulov, K. |
| author_sort | Sapar, Siti Hasana |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. We have also established commutative associative multiplication to build a transposed Poisson algebra associated with a given Lie algebra. |
| first_indexed | 2025-11-15T14:33:43Z |
| format | Article |
| id | upm-117490 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:33:43Z |
| publishDate | 2025 |
| publisher | Pleiades Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1174902025-07-08T02:05:21Z http://psasir.upm.edu.my/id/eprint/117490/ Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length Sapar, Siti Hasana Saydaliyev, Azamat Deraman, Fatanah Abdurasulov, K. The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. We have also established commutative associative multiplication to build a transposed Poisson algebra associated with a given Lie algebra. Pleiades Publishing 2025-03-17 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/117490/1/117490.pdf Sapar, Siti Hasana and Saydaliyev, Azamat and Deraman, Fatanah and Abdurasulov, K. (2025) Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length. Lobachevskii Journal of Mathematics, 45 (11). pp. 5735-5749. ISSN 1995-0802; eISSN: 1818-9962 https://link.springer.com/article/10.1134/S1995080224606866 10.1134/S1995080224606866 |
| spellingShingle | Sapar, Siti Hasana Saydaliyev, Azamat Deraman, Fatanah Abdurasulov, K. Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title | Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title_full | Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title_fullStr | Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title_full_unstemmed | Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title_short | Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length |
| title_sort | transposed poisson structures on low dimensional quasi-filiform lie algebras of maximum length |
| url | http://psasir.upm.edu.my/id/eprint/117490/ http://psasir.upm.edu.my/id/eprint/117490/ http://psasir.upm.edu.my/id/eprint/117490/ http://psasir.upm.edu.my/id/eprint/117490/1/117490.pdf |