A new linear quotient of C 4 admitting a symplectic resolution

We show that the quotient C (4)/G admits a symplectic resolution for . Here Q (8) is the quaternionic group of order eight and D (8) is the dihedral group of order eight, and G is the quotient of their direct product which identifies the nontrivial central elements -Id of each. It is equipped with the tensor product representation . This group is also naturally a subgroup of the wreath product group . We compute the singular locus of the family of commutative spherical symplectic reflection algebras deforming C (4)/G. We also discuss preliminary investigations on the more general question of classifying linear quotients V/G admitting symplectic resolutions.