Abstract:
Relativistic wave equations are obtained that describe a particle of arbitrary spin and parity
and do not contain additional conditions. The fields that satisfy these equations transform
in accordance with finite-dimensional reducible representations of the Lorentz group and
contain principal and auxiliary components. The fields contain the least possible number
of components. On the basis of these equations a Lagrangian formalism is set up and one
can investigate different types of interaction. As an example, the interaction of a particle
with arbitrary spin with the electromagnetic field is considered. For this case the Feynman
rules are written down.