\[\boldsymbol{{\Gamma}}=\begin{bmatrix}\mathbf{I}_{g}&\mathbf{B}\\
\boldsymbol{{0}}_{g}&\mathbf{I}_{g}\end{bmatrix}\Rightarrow\theta\left(\mathbf%
{z}\middle|\boldsymbol{{\Omega}}+\mathbf{B}\right)=\theta\left(\mathbf{z}%
\middle|\boldsymbol{{\Omega}}\right).\]