American Journal of Physics · 1966 · 62 citations · 11 references
Natural SciencesPhysicsMathematical PhysicsParticle PhysicsTheoretical PhysicsElementary ParticlesGeneral RelativityLorentz TransformationsRelativistic MechanicsRelativistic PhysicsSpecial RelativityHadron Mass SpectrumLorentz AlgebraLorentz GroupMass Spectrum Interpretation
An early paper (1932) by Majorana, that has received but scant attention, is reexamined in light of later developments. This pioneering paper constructs a relativistically invariant theory of arbitrary spin particles, develops and utilizes infinite dimensional representations of the homogeneous Lorentz group, and provides a mass spectrum for elementary particles. The relevance of Majorana's approach and results to later and current research is explained.
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On Unitary Representations of the Inhomogeneous Lorentz Group
E. P. Wigner · Annals of Mathematics · 1939 · 3.1K citations
Irreducible Unitary Representations of the Lorentz Group
V. Bargmann · Annals of Mathematics · 1947 · 1.3K citations
Representations of the Rotation and Lorentz Groups and Their Applications.
Róbert Hermann, I. M. Gel'fand, R. A. Minlos et al. · American Mathematical Monthly · 1966 · 797 citations