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Elements of the Representation Theory of Associative Algebras

Elements of the Representation Theory of Associative Algebras

Volume 3. Representation-infinite Tilted Algebras

£113.00

Part of London Mathematical Society Student Texts

  • Date Published: October 2007
  • availability: Available
  • format: Hardback
  • isbn: 9780521882187

£ 113.00
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About the Authors
  • 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.

    • Self contained, only knowledge from the first two volumes is required for volume three
    • Finishes with a collection of result bringing together material from all three volumes
    • 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

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    Product details

    • Date Published: October 2007
    • format: Hardback
    • isbn: 9780521882187
    • length: 470 pages
    • dimensions: 229 x 150 x 28 mm
    • weight: 0.8kg
    • contains: 19 b/w illus. 46 exercises
    • availability: Available
  • 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.

  • Authors

    Daniel Simson
    Daniel Simson is a Professor of Mathematics at Nicolaus Copernicus University, Torun.

    Andrzej Skowronski
    Andrzej Skowronski is a Professor of Mathematics at Nicolaus Copernicus University, Torun.

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