Polynomial Invariants for General Higher Spin Dirac Operators: A Toy Model

We extend our previous results on spaces of polynomial invariants for Rarita-Schwinger operators acting on representations S-k with highest weight (k + 1/2, 1/2, ... , 1/2) to a more general setting. This setting may be seen as a toy model for the study of Higher Spin Dirac operators on general representations with half-integral highest weights, and already hints at an essential difference of the structure of the space of invariant differential operators on S-k and on a general representation.