Work

Transposed poisson structures on two Nambu 3-Lie algebras

Year: 2025

Type: article

Abstract: In this paper, we describe the [Formula: see text]-derivations and transposed Poisson structures of the Nambu 3-Lie algebras [Formula: see text] and [Formula: see text]. Specifically, we first present that [Formula: see text] is finitely generated and graded. Then we find that [Formula: see text] has nontrivial [Formula: see text]-derivations and admits only trivial transposed Poisson structures. The 3-Lie algebra [Formula: see text] admits nontrivial transposed Poisson structures.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500812

Authors: Jingjing Jiang, Chunyi Li, Jie Lin

Institution: Civil Aviation University of China

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G2989082175