Abstract
A study of the Bargmann–Wigner wave equations (BWE) is carried out from the group theoretical point of view. Starting with totally symmetric multispinors of rank n and their expansion in terms of tensor coefficients, the general symmetry properties among them, the equation of motion and the Lorentz content of these tensors are derived for systems of arbitrary spin and nonzero mass. The same procedure is applied to multispinors of mixed symmetry corresponding to any Young diagram. Complete formulas are found for these multispinors, which are necessary in the construction of the first order Lagrangian for the BWE.
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