Representations of Finite-Dimensional Algebras

Attempts to take us up to the point where we can find our way in the original literature. This book presents some basic material and some insights of the theory. It includes proofs for statements which in the authors' opinions are elementary, those which help further understanding.

From the reviews: "...[Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature..." --The Mathematical Gazette

Matrix Problems.- Algebras, Modules and Categories.- Radical, Decomposition, Aggregates.- Finitely Spaced Modules.- Finitely Represented Posets.- Roots.- Representations of Quivers.- Spectroids, Quivers, Coherence.- Almost Split Sequences.- Postprojective Components.- Representations of Tame Quivers.- Derivation and Tilting (by K. Keller).- Multiplicative Bases.- Finitely Represented Algebras.- Bibliography.- Subject Index.- List of Symbols.