Transposed Poisson structures on solvable Lie algebras with filiform nilradical
Rings and Algebras
2024-09-18 v4
Abstract
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.
Cite
@article{arxiv.2401.04443,
title = {Transposed Poisson structures on solvable Lie algebras with filiform nilradical},
author = {Kobiljon Abdurasulov and Jobir Adashev and Sabohat Eshmeteva},
journal= {arXiv preprint arXiv:2401.04443},
year = {2024}
}
Comments
43 pages