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On the Formal Extension of Dirac's Equation under Continuous Transformation Groups
Phys. Rev. 73, 910 – Published 15 April, 1948
DOI: https://doi.org/10.1103/PhysRev.73.910
Abstract
The theory of equations of the Dirac type which are form-invariant under general finite continuous groups of point transformations in space-time is developed. The possible equations invariant under a given group depend on the structure of the group, but in each case the required invariance imposes a set of linear homogeneous relations on the -operators with which any assumed algebra must be consistent. It is shown that the algebra appropriate to the general equation possessing form-invariance under the inhomogeneous Lorentz group is necessarily of infinite order.
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Omitted endnote