Abstract
The classical Dirac equation for spin 1/2-fields is an example of (first order) equation for spin λ-fields related with irreducible representation spaces of the group Spin(m) with weight λ on an oriented riemannian spin manifold M. For the flat space M = R m there is the Clifford analysis as a natural method for the study of properties of these fields. Their Taylor series are composed from polynomial-type fields, the elements of some finite-dimensional representation space of the group Spin(m). The representation character (decomposition into irreducible components) of polynomial-type fields were studied for Rarita Schwinger fields in [4], for symmetric analogies of Rarita-Schwinger fields in two related papers [7, 8]. In this paper the representation character of monogenic s-forms of polynomial-type with s < m/2 is described in details.
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Bureš, J. (2001). Monogenic Forms of Polynomial Type. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_4
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DOI: https://doi.org/10.1007/978-94-010-0862-4_4
Publisher Name: Springer, Dordrecht
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