  Starting with an indecomposable Poincare module M_0 induced from a given
irreducible Lorentz module we construct a free Poincare invariant gauge theory
defined on the Minkowski space. The space of its gauge inequivalent solutions
coincides with (in general, is closely related to) the starting point module
M_0. We show that for a class of indecomposable Poincare modules the resulting
theory is a Lagrangian gauge theory of the mixed-symmetry higher spin fields.
The procedure is based on constructing the parent formulation of the theory.
The Labastida formulation and the unfolded description of the mixed symmetry
fields are reproduced through the appropriate reductions of the parent
formulation. As an independent check we show that in the momentum
representation the solutions form a unitary irreducible Poincare module
determined by the respective module of the Wigner little group.
