April 22, 2024Open Access

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

KAKobiljon AbdurasulovAcademy of Sciences Republic of Uzbekistan FDFatanah DeramanUniversiti Malaysia Perlis ASAzamat SaydaliyevAcademy of Sciences Republic of Uzbekistan

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Abstract

This article will discussing on 12-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 12-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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Cite This Study

Abdurasulov et al. (Mon,) studied this question.

synapsesocial.com/papers/68e6e2eeb6db64358765ebea https://doi.org/https://doi.org/10.48550/arxiv.2404.14001