Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: Derivations, Automorphisms, and Rota--Baxter operators

Roman Lubkov, Ilya Shiringovskiy

In this paper, we provide a comprehensive study of the structural properties of the transposed Poisson algebra $\mathcal{W}(a,-1)$. We classify several types of linear maps, includ…