Poincaré-Like Group Associated with Neutrino Physics, and Some Applications

Abstract

An inhomogeneous Lorentz group (different from the Poincaré group) is studied in relation with the relativistic covariance of the Dirac-Weyl equation. A mathematical study of the group structure and of its unitary irreducible representations is presented, and physical consequences concerning neutrino physics (and electromagnetic field) are drawn by the introduction of the Stokes parameters.