  In this lecture we aim to present a formalism based on Faddeev-like equations
for describing nuclear three-cluster reactions that include elastic, transfer
and breakup channels. Two different techniques based on momentum-space and
configuration-space representations are explained in detail. An important new
feature of these methods is the possibility to account for the repulsive
Coulomb interaction between two of the three clusters in all channels.
Comparison with previous calculations based on approximate methods used in
nuclear reaction theory is also discussed.
