Poisson Structures of Non-finitely Graded Lie Algebras Related to Generalized Witt Algebras
Let [Formula: see text] be a class of non-finitely graded Lie algebras related to generalized Witt algebras [Formula: see text]. We give a full description of the Poisson structures on [Formula: see text]. It is shown that there is no non-trivial and associative Poisson algebraic structures on [Formula: see text].
Authors
- Runguo Xu
- Ying Xu
Institutions
- Hefei University of Technology (CN)
Publication Details
- Journal
- Algebra Colloquium
- Published
- 2026-02-27
- DOI
- https://doi.org/10.1142/s1005386726000143
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00