Finite conformal transformations

When discussing with colleagues the recently posted 'Tutorial on scale and conformal symmetries in diverse dimensions' (Jackiw and Pi 2011 J. Phys. A: Math. Theor. 44 223001), we developed representations for finite conformal transformations of tensor and spinor fields, in which the Lorentz tensorial/spinorial structure of the field plays no role. Since we have not seen these expressions in the literature, we present them here in case they are unknown.