Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type

Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field

Daniel Simson (Author), Andrzej Skowro?ski (Author)

9780521544207, Cambridge University Press

Paperback, published 6 September 2007

320 pages, 52 exercises
22.7 x 15.2 x 1.6 cm, 0.456 kg

'The book will be very useful on the one hand to graduate students who want to learn advanced topics in the field an on the other hand to researchers and experts as a complete reference guide to central results.' Mathematical Reviews

The second 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, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.

Introduction
10. Tubes
11. Module categories over concealed algebras of Euclidean type
12. Regular modules and tubes over concealed algebras of Euclidean type
13. Indecomposable modules and tubes over hereditary algebras of Euclidean type
14. Minimal representation-infinite algebras
Bibliography
Index
List of symbols.

Subject Areas: Algebra [PBF]