On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems
arXiv:0908.0842
Abstract
The aim of the paper is to study relations between polynomial solutions of generalized Moisil-Theodoresco (GMT) systems and polynomial solutions of Hodge-de Rham systems and, using these relations, to describe polynomial solutions of GMT systems. We decompose the space of homogeneous solutions of GMT system of a given homogeneity into irreducible pieces under the action of the group O(m) and we characterize individual pieces by their highest weights and we compute their dimensions.
arXiv comment11 pages; appendix and proofs from Section 3 removed (we refer to Y. Homma's results instead)