We show that a large class of incompressible quantum Hall states corre
spond to different representations of the W-infinity algebra by explic
it construction of the second-quantized generators of the algebra in t
erms of fermion and vortex operators. These are parametrized by a set
of integers which are related to the filling fraction. The class of st
ates we consider includes multilayer Hall states and the states propos
ed by Jain to explain the hierarchical filling fractions. The correspo
nding second-quantized order parameters are also given.