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arXiv · 2508.08057

Transposed Poisson Structures on Two Nambu 3-Lie Algebras

Jingjing Jiang·Chunyi Li·Jie Lin
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Abstract

We describe the $\frac{1}{3}$-derivations and transposed Poisson structures of the Nambu 3-Lie algebras $A_\omega^\delta $ and $ A_{f,k} $. Specifically, we first present that $A_\omega^\delta $ is finitely generated and graded. Then we find that $A_\omega^\delta $ has non-trivial $\frac{1}{3}$-derivations and admits only trivial transposed Poisson structures. The 3-Lie algebra $A_{f,k}$ admits non-trivial transposed Poisson structures.

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Jingjing Jiang, Chunyi Li, Jie Lin. 2025-08-11. Transposed Poisson Structures on Two Nambu 3-Lie Algebras. https://arxiv.org/abs/2508.08057

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