δ-(bi)derivations and transposed Poisson algebra structures on the n-th Schrodinger algebra

The Formula: see text-th Schrödinger algebra Formula: see text is the semidirect product of the Lie algebra Formula: see text with the Formula: see text-th Heisenberg Lie algebra Formula: see text. In this paper, we will show that Formula: see text has neither nontrivial Formula: see text-derivations nor nontrivial transposed Poisson algebra structures, and doesn’t have nonzero Formula: see text-biderivations. In addition, all Formula: see text-derivations and Formula: see text-biderivations on Formula: see text are all described.