  Chiral partition functions of conformal field theory describe the edge
excitations of isolated Hall droplets. They are characterized by an index
specifying the quasiparticle sector and transform among themselves by a
finite-dimensional representation of the modular group. The partition functions
are derived and used to describe electron transitions leading to Coulomb
blockade conductance peaks. We find the peak patterns for Abelian hierarchical
states and non-Abelian Read-Rezayi states, and compare them. Experimental
observation of these features can check the qualitative properties of the
conformal field theory description, such as the decomposition of the Hilbert
space into sectors, involving charged and neutral parts, and the fusion rules.
