Transposed Poisson structures on Virasoro-type algebras

We compute $\frac{1}{2}$-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras $\widehat{W}_n(G)$, $\widetilde{W}_n(G)$, and $\widetilde{HW}_n(G)$. We classify all transposed Poisson structures on such algebras.
Comment: arXiv admin note: text overlap with arXiv:2405.11108; text overlap with arXiv:2401.04443 by other authors