Transposed Poisson structures on solvable Lie algebras with filiform nilradical

Kobiljon Abdurasulov; Jobir Adashev; Sabohat Eshmeteva

doi:10.46298/cm.12844

Kobiljon Abdurasulov ; Jobir Adashev ; Sabohat Eshmeteva - Transposed Poisson structures on solvable Lie algebras with filiform nilradical

cm:12844 - Communications in Mathematics, September 13, 2024, Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics) - https://doi.org/10.46298/cm.12844

Transposed Poisson structures on solvable Lie algebras with filiform nilradicalArticle

Authors: Kobiljon Abdurasulov ; Jobir Adashev ; Sabohat Eshmeteva

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.

Comment: 43 pages

https://doi.org/10.46298/cm.12844

Source: arXiv.org:2401.04443

Volume: Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)

Published on: September 13, 2024

Accepted on: July 29, 2024

Submitted on: January 10, 2024

Keywords: Mathematics - Rings and Algebras, 17A30 (Primary), 17B40, 17B61, 17B63 (Secondary)

Licence: Attribution 4.0 International (CC BY 4.0)