$$\begin{array}{ccc}{S}^{{\mathcal{W}}_{\mathrm{\Lambda <!--\; \Lambda \; -->}}}\otimes <!--\; \otimes \; -->T& \stackrel{j}{\to }& T\\ \downarrow & & \downarrow \mathrm{End}<!--\; \; -->P& \\ (S\otimes <!--\; \otimes \; -->T)/I& =& (Z\otimes <!--\; \otimes \; -->T)/J\end{array}$$