  Let $V$ be a complex vector space on which a finite group $G$ acts by linear
transformations. Let $W = V \oplus V^*$ be the sum of $V$ with its dual $V^*$.
We prove that if the quotient $W/G$ admits a smooth crepant resolution, then
the subgroup $G \subset Aut V$ is generated by complex reflections. We also
obtain some results on the structure of smooth crepant resolutions of the
quotients $W/G$, where $W$ is a symplectic vector space, and $G \subset Aut W$
is a finite group of symplectic linear transformations of the vector space $W$.
