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We compute 12-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras Wₙ (G), Wₙ (G), and HWₙ (G). We classify all transposed Poisson structures on such algebras.
Kaygorodov et al. (Fri,) studied this question.