On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems
نویسندگان
چکیده
The aim of the paper is to characterize polynomial solutions of the Hodge-de Rham system, to study relations between polynomial solutions of generalized Moisil-Théodoresco (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 weight and we compute their dimensions. Tools used in the paper are coming from basic representation theory.
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