  The coherent transport through a set of N quantum dots coupled in parallel is
considered in the limit of infinite intradot and finite or infinite interdot
interactions. The mean field slave boson approach and the equation of motion
method are used. For the full spin-orbit degenerate case the low energy
behavior is characterized by an SU(2N) symmetry with entangled spin and charge
correlations. The magnetic field breaks the spin degeneracy, but for the
special choices of gate voltages the degeneracy might be recovered in one spin
channel allowing the spin filtering.
