  Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Luttinger
liquids is discussed. The linear conductance due to sequential tunneling is
calculated by solving a master equation for temperatures below and above the
average level spacing in the dot. When the parameter g characterizing the
Tomonaga-Luttinger liquid is smaller than 1/2, the resonant tunneling process
is incoherent down to zero temperature. At low temperature T the height and
width of the conductance peaks in the Coulomb blockade oscillations are
proportional to T^{(1/g)-2} and T, respectively. The contribution from
tunneling via a virtual intermediate state (cotunneling) is also included. The
resulting conductance formula can be applied for the resonant tunneling between
edge states of fractional quantum Hall liquids with filling factor
nu=1/(2m+1)=g.
