Table of Contents

Auslander-Reiten sequences and representation-finite algebras.- Highest weight modules for semisimple Lie algebras.- Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for solving vectorspace problems. I).- Tame algebras (on algorithms for solving vector space problems. II).- Matrix problems and representations of Bocs's.