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Invariant operators between spaces of \(h\)-monogenic polynomials. (English) Zbl 1177.22008
In the paper under review, the authors study properties of invariant differential operators acting between spaces of \(h\)-monogenic functions. In this way differential operators acting between invariant \({\mathfrak{sl}}(m)\)-modules which can be seen as the Hermitian analogues of the classical Rarita-Schwinger operators are obtained.

MSC:
22E46 Semisimple Lie groups and their representations
30G35 Functions of hypercomplex variables and generalized variables
15A66 Clifford algebras, spinors
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