The hierarchy of fractionally quantized Hall states of Haldane and Hal
perin is extended to the case of double-layer electron systems. Recurs
ion relations for the filling fractions and flux shifts in the spheric
al geometry are derived and used to elaborate simple cases, including
quasiparticle condensates with opposite charges in different layers. E
xtensive numerical studies are presented, which provide evidence for m
any of our predictions.