“…Following Barthel's work [1] in constructing the 2-cocycle from Sp(W ) to GSp(W ), we can easily extend the Weil representation from an affine symplectic group to its similitude group. Some recent papers on various aspects of Weil representations can also be found here: [5], [7], [8], [14], [15], [16], [17], [18], [24], [25], [30], [34], etc.…”