Special Cases I

Almost all indecomposables are lost:

B is representation finite.

All the indecomposable modules for all representation-finite algebras
are constructed in this way, using covering theory.


Only finitely many indecomposables are lost:

B is a "concealed" algebra

The tame concealed algebras (Happel-Vossieck list) are
the decisive minimal representation-infinite algebras.