  Using projective construction, a generalized parton construction, we
construct many non-Abelian quantum Hall (QH) states, which include the Pfaffian
state at filling fraction $\nu=1/2$. The projective construction allows us to
calculate the bulk and the edge effective theory for the constructed QH state.
We illustrate how to use the bulk effective theory to calculate the ground
state degeneracy of non-Abelian QH liquids on torus. We point out that the full
description of the effective theory requires both the effective Lagrangian and
the definition of electron operators. The latter generates all physical states
and defines the gauge structure of the theory.
