Abstract
We analyse the structure of the only higher-spin fermion equation, beside the Fierz-Pauli equation, with Harish-Chandra degree four. It is rewritten in a basis corresponding to invariant subspaces for the irreducible Lorentz representations involved. Its irreducibility is demonstrated. Finally, it is rewritten in the more familiar formalism of Dirac γ-matrices and tensor-spinor fields.
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