Elements of the Representation Theory of Associative Algebras, Volume 3: Represe

Publisher Description

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.

Notes

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. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy, before bringing together material discussed in all three volumes. 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.

Author Biography

Daniel Simson is a Professor of mathematics at Nicolaus Copernicus University, Torun. Andrzej Skowronski is a Professor of mathematics at Nicolaus Copernicus University, Torun.

Table of Contents

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.

Review

'... indispensable both for researchers and for graduate students interested in modern representation theory.' European Mathematical Society Newsletter "Old and new problems keep the theory alive and remain a challenge for the coming generation of young researchers." - Wolfgang Rump, Mathematical Review Clippings

Review Quote

"Old and new problems keep the theory alive and remain a challenge for the coming generation of young researchers." - Wolfgang Rump, Mathematical Review Clippings

Promotional "Headline"

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

Description for Bookstore

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. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy.

Description for Library

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. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy.

Details