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Elements of the Representation Theory of Associative Algebras 3: Representation-Infinite Tilted Algebras

Daniel Simson and Andrzej Skowroński
Publisher: 
Cambridge University Press
Publication Date: 
2007
Number of Pages: 
456
Format: 
Paperback
Series: 
London Mathematical Society Student Texts 72
Price: 
58.00
ISBN: 
9780521708760
Category: 
Monograph
[Reviewed by
Gizem Karaali
, on
09/24/2008
]

This book concludes a set of three that cover the representation theory of associative algebras from the basics to the research level. The first volume was a general introduction to the three major techniques (quivers, Auslander-Reiten theory, tilting theory) used in the study of the representations of associative algebras. The second volume focused on indecomposable modules and hereditary algebras of Euclidean type. This third volume studies representation-infinite tilted algebras, tame and wild representation types in detail, and concludes with a summary chapter on selected recent results.


 

Gizem Karaali is assistant professor of mathematics at Pomona College.

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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