Transposed Poisson structures on Virasoro-type algebras

Abstract

We compute $\frac{1}{2}$-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras ${\hat{W}}_n(G)$, ${\tilde{W}}_n(G)$, and ${\widetilde{HW}}_n(G)$. We classify all transposed Poisson structures on such algebras.

arXiv admin note: text overlap with arXiv:2405.11108; text overlap with arXiv:2401.04443 by other authors