  We construct explicitly generators of projectable four-dimensional
diffeomorphisms and triad rotation gauge symmetries in a model of vacuum
gravity where the fundamental dynamical variables in a Palatini formulation are
taken to be a lapse, shift, densitized triad, extrinsic curvature, and the
time-like components of the Ricci rotation coefficient. Time-foliation-altering
diffeomorphisms are not by themselves projectable under the Legendre
transformations. They must be accompanied by a metric- and triad-dependent
triad rotation. The phase space on which these generators act includes all of
the gauge variables of the model.
