The center of the partition algebra

In this paper we show that the center of partition algebra $\mathcal{A}_{2k}(\delta)$, in semisimple case, is given by subalgebra supersymmetric polynomials normalised Jucys-Murphy elements. For non-semisimple such a shown to be central, and particular it large enough recognise block structure $\mathcal{A}_{2k}(\delta)$. This allows one give an alternative description for when two simple $\mathcal{A}_{2k}(\delta)$-modules belong same block.