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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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