  Dunkl operators for complex reflection groups are defined in this paper.
These commuting operators give rise to a parametrized family of deformations of
the polynomial De Rham complex. This leads to the study of the polynomial ring
as a module over the "rational Cherednik algebra", and a natural contravariant
form on this module. In the case of the imprimitive complex reflection groups
G(m,p,N), the set of singular parameters in the parameter family of these
structures is described explicitly, using the theory of nonsymmetric Jack
polynomials.
