We consider theoretically the properties of piezoelectricity in choles
teric elastomers. We deduce using symmetry considerations the piezoele
ctric contributions to the free energy in the context of a coarse-grai
ned description of the material. In contrast to previous work we find
that compressions or elongations of the material along the pitch axis
do not produce a piezoelectric response, in agreement with fundamental
symmetry considerations. Rather only suitable shear strains or local
rotations produce a polarization. We propose some molecular mechanisms
to explain these effects.