Abstract
Superconductivity in materials without inversion symmetry displays intriguing properties due to a strong modification of their band structures caused by antisymmetric spin-orbit coupling. This is most dramatically seen in several recently discovered heavy fermion superconductors such as $${\rm CePt}_3{\rm Si}\;{\rm or} \;{\rm Ce}TSi_3$$ (T = Rh and Ir). These systems are interesting in view of the involvement of magnetic fluctuations in the pairing mechanism yielding dominant unconventional Cooper pairing in a so-called mixed parity form. However, also other non-centrosymmetric superconductors with weakly correlated electrons are in many respects interesting and will be reviewed here.
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