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

2024/04/22 by Kobiljon Abdurasulov, Abdurasulov, Kobiljon, Fatanah Deraman +5
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2404.14001

openalex publication_date 2024/04/22 · openalex created_date 2024/04/24 · openalex updated_date 2026/07/28

Abstract

This article will discussing on (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 (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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