On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems

Details On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems

2009-08-06

arxiv.org/abs/0908.0842v2

Mathematics

Complex Variables

11 pages; appendix and proofs from Section 3 removed (we refer to Y. Homma's results instead)

Scientific paper

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.

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