Polynomial Invariants for General Higher Spin DiracOperators: A Toy Model

摘要

We extend our previous results on spaces of polynomial invariants for Rarita-Schwinger operators acting on representations S_k with highest weight (k+ 7, 7) 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.