  A description of all the irreducible representations of generalized quantum
doubles associated to skew pairings of semisimple Hopf algebras is given. In
particular a description of the irreducible representations of semisimple
Drinfeld doubles is obtained. It is shown that the Grothendieck ring of these
generalized quantum doubles have a structure similar to the rings that arise
from Green functors. In order to do this we give a formula for the tensor
product of any two such irreducible representations.
