  We build a relativistic model to perform calculations of exclusive,
semi-exclusive and inclusive unpolarized cross sections and various
polarization observables in electron and neutrino scattering experiments with
deuteron targets. The strong interaction dynamics is defined by an explicit
dynamical unitary representation of the Poincar\'e group, where representations
of space translations and rotations in the interacting and non-interacting
representations are the same. The Argonne V18 potential is used to construct a
relativistic nucleon-nucleon interaction reproducing the experimental deuteron
binding energy and nucleon-nucleon scattering observables. Our formalism does
not include the pion production channel and neglects two-body contributions in
the electromagnetic as well as in the weak nuclear current operator. We show
that it is applicable to processes at kinematics, where the internal
two-nucleon energy remains below the pion production threshold but the
magnitude of the three-momentum transfer extends at least to several GeV.
