“…More recently, a relation between 1 2 -derivations of Lie algebras and transposed Poisson algebras has not only been established [11], but also between 1 2 -biderivations and transposed Poisson algebras [32]. These ideas were used for describing all transposed Poisson structures on the Witt algebra which was one of the first examples of non-trivial transposed Poisson algebras [11], the Virasoro algebra [11], the algebra W (a, b) [11], the thin Lie algebra [11], the twisted Heisenberg-Virasoro algebra [32], the Schrödinger-Virasoro algebra [32], the extended Schrödinger-Virasoro algebra [32], the 3-dimensional Heisenberg Lie algebra [32], Block Lie algebras and superalgebras [17], Witt type algebras [19], oscillator Lie algebras [4] and Galilean and solvable Lie algebras [18]. A list of actual open questions on transposed Poisson algebras was given in [4].…”