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We calculate all symmetries of the Dirac-Pauli equation in two-dimensionaland three-dimensional Euclidean space. Further, we use our results for aninvestigation of the issue of zero mode degeneracy. We construct explicitly aclass of multiple zero modes with their gauge potentials.Comment: 22 pages, Latex. Final version as published in JMP. Contains an  additional subsection (4.2) with the explicit construction of multiple zero  mode

The symmetries of the Dirac–Pauli equation in two and three dimensions