  We use the plethystic exponential and the Molien-Weyl formula to compute the
Hilbert series (generating funtions), which count gauge invariant operators in
N=1 supersymmetric SU(N_c), Sp(N_c), SO(N_c) and G_2 gauge theories with 1
adjoint chiral superfield, fundamental chiral superfields, and zero classical
superpotential. The structure of the chiral ring through the generators and
relations between them is examined using the plethystic logarithm and the
character expansion technique. The palindromic numerator in the Hilbert series
implies that the classical moduli space of adjoint SQCD is an affine Calabi-Yau
cone over a weighted projective variety.
