Transposed Poisson structures on solvable Lie algebras with filiform nilradical
In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are constructed. That is, by using 1/2-derivations of Lie algebras, we have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra.
Authors
- J. Q. Adashev (ORCID: https://orcid.org/0000-0002-4882-4098)
- Kobiljon Abdurasulov (ORCID: https://orcid.org/0009-0003-5135-508X)
- Sabohat Eshmeteva
Publication Details
- Journal
- Communications in Mathematics
- Published
- 2024-09-13
- DOI
- https://doi.org/10.46298/cm.12844
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 1.27