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Look Inside Elements of the Representation Theory of Associative Algebras

Elements of the Representation Theory of Associative Algebras

Volume 2. Tubes and Concealed Algebras of Euclidean type

Part of London Mathematical Society Student Texts

Authors:
Daniel Simson
Andrzej Skowroński

Date Published: September 2007
availability: Temporarily unavailable - available from TBC
format: Paperback
isbn: 9780521544207

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About the Authors

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.
- Self contained, only knowledge from volume one is required for volume two
- Introduces the reader to representation theory by applying tilting theory
- Class tested in courses given by the authors
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Reviews & endorsements
'… indispensable both for researchers and for graduate students interested in modern representation theory.' European Mathematical Society Newsletter
'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
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Product details
- Date Published: September 2007
- format: Paperback
- isbn: 9780521544207
- length: 320 pages
- dimensions: 227 x 152 x 16 mm
- weight: 0.456kg
- contains: 52 exercises
- availability: Temporarily unavailable - available from TBC
Table of Contents
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.
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Authors
Daniel Simson
Daniel Simson is a Professor of mathematics at Nicolaus Copernicus University, Torun.
Andrzej Skowroński
Andrzej Skowronski is a Professor of mathematics at Nicolaus Copernicus University, Torun.