  By applying the Dirac quantization method, we build the constraint that all
electrons are in the lowest Landau level into the Chern-Simons field theory
approach for the fractional quantum Hall system and show that the constraint
can be transmuted from hierarchy to hierarchy. For a finite system, we derive
that the action for each hierarchy can be split into two parts: a surface part
provides the action for the edge excitations while the remaining part is
precisely the bulk action for the next hierarchy. And the action for the edge
could be decoupled from the bulk only at the hierarchy filling.
