Non-associative and non-commutative Poisson structures on Filiform Lie algebras
In this paper, we study the non-associative and non-commutative Poisson structures on filiform Lie algebras $ L_n $ and $ Q_{2m} $ and then characterize the commutative and associative Poisson structures on $ L_n $ and $ Q_{2m} $. Besides, we discuss the relationships between some non-associative algebras.
Authors
- Jixia Yuan (ORCID: https://orcid.org/0000-0003-1080-8233)
- Yuqiu Sheng (ORCID: https://orcid.org/0000-0003-4030-3279)
Institutions
- Heilongjiang University (CN)
- Bohai University (CN)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025737
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00