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arXiv · 2404.14001

Transposed Poisson structures on quasi-filiform Lie algebras of maximum length

Kobiljon Abdurasulov·Fatanah Deraman·Azamat Saydaliyev·Siti Hasana Sapar
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Abstract

This article will discussing on $\frac{1}{2}$-derivations of quasi-filiform Lie algebras of maximum length. The non-trivial transposed Poisson algebras with the quasi-filiform Lie algebras of maximum length are constructed by using $\frac{1}{2}$-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, Fatanah Deraman, Azamat Saydaliyev, Siti Hasana Sapar. 2024-04-22. Transposed Poisson structures on quasi-filiform Lie algebras of maximum length. https://arxiv.org/abs/2404.14001

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