Elements of the Representation Theory of Associative Algebras

The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.

Spis treści:
Introduction
15. Tubular extensions and tubular coextensions
16. Branch algebras
17. Tilted algebras of Euclidean type
18. Wild hereditary algebras and tilted algebras of wild type
19. Tame and wild representation type of algebras
20. Perspectives
Bibliography
Index
List of symbols.