INFINITE SYMMETRY IN THE FRACTIONAL QUANTUM HALL-EFFECT

We have generalized recent results on the integer quantum Hall effect, constructing explicitly a W1+infinity for the fractional quantum Hall effect such that the negative modes annihilate the Laughlin wavefunctions. This generalization has a nice interpretation in Jain's composite-fermion theory. Furthermore, for these models, we have calculated the wavefunctions of the edge excitations, viewing them as area-preserving deformations of an incompressible quantum droplet and have shown that the W1+infinity is the underlying symmetry of the edge excitations in the fractional quantum Hall effect, finally, we have applied this method to more general wavefunctions.