  The classification of finite-dimensional pointed Hopf algebras with group S_3
was finished in "The Nichols algebra of a semisimple Yetter-Drinfeld module",
arXiv:0803.2430v1 [math.QA], by Andruskiewitsch, Heckenberger and Schneider:
there are exactly two of them, the bosonization of a Nichols algebra of
dimension 12 and a non-trivial lifting. Here we determine all simple modules
over any of these Hopf algebras. We also find the Gabriel quivers, the
projective covers of the simple modules, and prove that they are not of finite
representation type. To this end, we first investigate the modules over some
complex pointed Hopf algebras defined in the papers "Examples of liftings of
Nichols algebras over racks", by Andruskiewitsch and Gra\~na and "Finite
dimensional pointed Hopf algebras over S_4", arXiv:0904.2558v2 [math.QA], by G.
Garcia and the author, whose restriction to the group of group-likes is a
direct sum of 1-dimensional modules.
