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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

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Juni 2004

Beschreibung

Beschreibung

This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.

Inhaltsverzeichnis

1. Background material from rings and modules; 2. Homological algebra; 3. Modules for group algebra; 4. Methods from the representation of algebra; 5. Representation rings and Burnside rings; 6. Block theory.

Pressestimmen

"...a very welcome addition to the existing classical literature on representation theory and cohomology of finite groups...fascinating reading for someone who already has a basic knowledge of representation theory and cohomology ...I can recommend this book highly to anyone who works with representation theory and cohomology of finite groups." K. W. Roggenkamp, Mathematical Reviews
EAN: 9780521361347
ISBN: 0521361346
Untertitel: 'Cambridge Studies in Advanced'. New. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Juni 2004
Seitenanzahl: 260 Seiten
Format: gebunden
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