Lateral tunnelling through a quantum box in the presence of a magnetic
field is analysed including electron-electron interaction without- an
y restriction for the spin configuration. When the Zeeman energy is la
rge enough to resolve single-particle degeneracies, we propose a simpl
e approach for the dot-lead coupling. In such a case, the linear condu
ctance at zero temperature as a function of the Fermi energy in the le
ads consists of a set of peaks related to changing by one the electron
occupancy in the box. We find that the width of the peak is a single-
particle feature, their position depend on all the many-body contribut
ions while the height is given by correlation effects. We compute the
conductance for several cases finding that correlation effects dominat
e the whole process.