Publication at Faculty of Mathematics and Physics |
2009
Abstract
We show that polynomial invariant operators on functions with values in the Spin(n) representation with highest weight (3/2,1/2,...,1/2) are spanned by the symbols of the Laplace and Rarita-Schwinger operators. This result generalizes the well known description of polynomial invariants on the scalar and spinor-valued functions.
We describe the operators in the language of Clifford analysis.