Unitary Representations of the Inhomogeneous Lorentz Group Including Reflections

Abstract

The present notes do not relate to a subject which is now at the center of interest. To be sure, symmetry considerations play a great and perhaps still increasing role in theoretical physics. However, we shall be concerned only with what may be called kinematical symmetry properties, i.e., symmetry properties of the space-time continuum in which the physical events occur. In contrast to the dynamical laws of symmetry, which relate to symmetries of interaction and of properties of particles, the kinematical laws of symmetry are supposed to be well known. The purpose of the lectures which are recorded in these notes was to make this statement more nearly true.