Representation-infinite tilted algebras

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Bibliographic Information

Representation-infinite tilted algebras

Daniel Simson, Andrzej Skowroński

（London Mathematical Society student texts, 72 . Elements of the representation theory of associative algebras ; v. 3）

Cambridge University Press, 2007

  • : hbk
  • : pbk

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Note

Includes bibliographical references (p. 405-449) and indexes

Description and Table of Contents

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.

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.

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