1974•Journal of Mathematical PhysicsRequires access

On mass zero indecomposable representations of the Poincaré group

P. M. Mathews, M. Seetharaman, M. T. Simon

Abstract

Considering the space of massless-particle wavefunctions transforming locally according to the irreducible representation D(m,n) of the homogeneous Lorentz group, we determine explicitly, by a direct and elementary method, the matrices constituting the (reducible but indecomposable) representation of Lorentz transformations with respect to a helicity basis.

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Key concepts: Indecomposable module, Lorentz group, Poincaré group, Helicity, Massless particle, Representation theory of the Lorentz group, Lorentz transformation, Group (periodic table)