Transposed Poisson structures on Witt-type algebras

Abstract

We compute $\frac{1}{2}$-derivations on the deformative Schrödinger-Witt algebra, on not-finitely graded Witt algebras $W_n(G)$, and on not-finitely graded Heisenberg-Witt algebra $H{W}_n(G)$. We classify all transposed Poisson structures on such algebras.