Basic representation theory of finite groups and associative algebras
著者
書誌事項
Basic representation theory of finite groups and associative algebras
（Cambridge studies in advanced mathematics, 30 . Representations and cohomology ; 1）
Cambridge University Press, 1998
- : pbk
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注記
Bibliography: p. 225-235
Includes index
内容説明・目次
内容説明
This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book 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 detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
目次
- 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.
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