We use chiral Luttinger liquid theory to study transport through a quantum
dot in the fractional quantum Hall effect regime and find rich non-Fermi-li
quid tunneling characteristics. In particular, we predict a remarkable Coul
omb-blockade-type energy gap that is quantized in units of the noninteracti
ng level spacing, power-law tunneling exponents for voltages beyond thresho
ld, and a line shape as a function of gate voltage that is dramatically dif
ferent than that for a Fermi liquid. We propose experiments to use these un
ique spectral properties as a probe of the fractional quantum Hall effect.