CENTRALLY EXTENDED W-1+INFINITY AND THE KP HIERARCHY

It is well known that the centerless W-1+infinity, algebra provides a hamiltonian structure for the KP hierarchy. In this letter we address the question whether the centerful version plays a similar role in any related integrable system. We find that, surprisingly enough, the cen trally extended W-1+infinity algebra yields yet another Poisson struct ure for the same standard KP hierarchy. This is proven by explicit con struction of the infinitely many new hamiltonians in closed form.