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

Kobiljon Abdurasulov; Fatanah Deraman; Azamat Saydaliyev; Siti Hasana Sapar

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

Rings and Algebras 2024-08-16 v1

Authors: Kobiljon Abdurasulov , Fatanah Deraman , Azamat Saydaliyev , Siti Hasana Sapar

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.

Keywords

quasi-filiform Lie algebras maximum length $\frac{1}{2}$-derivations transposed Poisson algebras commutative associative multiplication non-trivial construction

Cite

@article{arxiv.2404.14001,
  title  = {Transposed Poisson structures on quasi-filiform Lie algebras of maximum length},
  author = {Kobiljon Abdurasulov and Fatanah Deraman and Azamat Saydaliyev and Siti Hasana Sapar},
  journal= {arXiv preprint arXiv:2404.14001},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2401.04443

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

Abstract

Keywords

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