  Given a (smooth) action of a Lie group G on Rd we construct a DGA whose
Maurer-Cartan elements are in one to one correspondence with some class of
defomations of the (induced) G-action on the ring of formal power series with
coefficients in the ring of smooth functions on Rd. In the final part of this
note we discuss the cohomological obstructions to the existence and to the
uniqueness (in a sense to be clarified) of such deformations.
