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The Polynomial Null Solutions of a Higher Spin Dirac Operator in Two Vector Variables

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Abstract

The polynomial null solutions are studied of the higher spin Dirac operator Q k,l acting on functions taking values in an irreducible representation space for Spin(m) with highest weight \({(k + \frac{1}{2},l+\frac{1}{2},\frac{1}{2},\ldots,\frac{1}{2})}\), with \({k,l \in \mathbb {N}}\) and k = l.

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Authors and Affiliations

  1. Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, 9000, Gent, Belgium

    F. Brackx & L. Van de Voorde

  2. Department of Mathematics and Computer Science, University of Antwerp, Campus Middelheim, G-Building, Middelheimlaan 1, 2020, Antwerpen, Belgium

    D. Eelbode

Authors
  1. F. Brackx
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  2. D. Eelbode
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  3. L. Van de Voorde
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Correspondence to L. Van de Voorde.

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Brackx, F., Eelbode, D. & Van de Voorde, L. The Polynomial Null Solutions of a Higher Spin Dirac Operator in Two Vector Variables. Adv. Appl. Clifford Algebras 21, 455–476 (2011). https://doi.org/10.1007/s00006-010-0260-6

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  • DOI: https://doi.org/10.1007/s00006-010-0260-6

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