  We propose a generalization of the supersymmetric representation of spins
with symplectic symmetry, generalizing the rotation group of the spin from
SU(2) to SP(N). As a test application of this new representation, we consider
two toy models involving a competition of the Kondo effect and
antiferromagnetism: a two-impurity model and a frustrated three-impurity model.
Exploring an ensemble of L-shaped representations with a fixed number of boxes
in their respective Young tableaux, we allow the system to choose which
representation is energetically more favorable in each region in parameter
space. We discuss how the features of these preliminary applications can
generalize to Kondo lattice models.
