The node structure of the superconducting order parameter of the heavy-ferm
ion system UPd2Al3 is analyzed within the weak-coupling theory. A pairing i
nteraction induced by the exchange of antiferromagnetic spin excitations is
assumed as suggested by recent inelastic neutron scattering experiments an
d tunneling spectroscopy. The multi-sheeted Fermi surface is taken into acc
ount. Based on a model susceptibility for the simple antiferromagnetic stru
cture of UPd2Al3, line nodes result at the rim of the magnetic Brillouin zo
ne.