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arXiv · 0908.0842

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

Richard Delanghe·Roman Lavicka·Vladimir Soucek
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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.

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Richard Delanghe, Roman Lavicka, Vladimir Soucek. 2009-08-06. On polynomial solutions of generalized Moisil-Theodoresco systems and Hodge-de Rham systems. https://arxiv.org/abs/0908.0842

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