Relativistic wave equations with extended set of the Lorentz group representations

Abstract

It is shown that the use of extended sets of irreducible representations of the Lorentz group opens new possibilities for the theory of relativistic wave equations from the point of view of the space-time description of both the internal structure and the isospin degrees of freedom of elementary particles. The approach developed in this work also makes it possible to apply the methods of the theory of relativistic wave equations in superstring and gauge models of fundamental interactions.