Transposed Poisson Structures on Two Nambu 3-Lie Algebras

Jingjing Jiang, Chunyi Li, Jie Lin

We describe the $\frac{1}{3}$-derivations and transposed Poisson structures of the Nambu 3-Lie algebras $A_{\ddot{I}}{‰}^{\hat{I}}´$ and $A_{f,k}$. Specifically, we first present that $A_{\ddot{I}}{‰}^{\hat{I}}´$ is…