Transposed Poisson Structures on Low Dimensional Quasi-Filiform Lie Algebras of Maximum Length
The article first computes $$\frac{1}{2}$$ -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these $$\frac{1}{2}$$ -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.
Authors
- Kobiljon Abdurasulov (ORCID: https://orcid.org/0009-0003-5135-508X)
- Siti Hasana Sapar (ORCID: https://orcid.org/0000-0002-0060-482X)
- Fatanah Deraman
- Azamat Saydaliyev
Institutions
- Academy of Sciences Republic of Uzbekistan (UZ)
- Universiti Putra Malaysia (MY)
- University of Beira Interior (PT)
- National University of Uzbekistan (UZ)
- Universiti Malaysia Perlis (MY)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s1995080224606866
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00