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arXiv · 2401.04443

Transposed Poisson structures on solvable Lie algebras with filiform nilradical

Kobiljon Abdurasulov·Jobir Adashev·Sabohat Eshmeteva
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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.

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Kobiljon Abdurasulov, Jobir Adashev, Sabohat Eshmeteva. 2024-01-09. Transposed Poisson structures on solvable Lie algebras with filiform nilradical. https://doi.org/10.46298/cm.12844

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