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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30) - Hardcover
Synopsis
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.
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Book Description
Now in paperback this is the second of two volumes that will provide an introdcution 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 concentrates on the cohomology of groups, always with representations in view.
Review
"...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
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30)
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Cambridge University Press, 1991
ISBN 10: 0521361346
ISBN 13: 9780521361347
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Basic representation theory of finite groups and associative algebras D.J. Benson. Representations and cohomology 1; Representations and cohomology; Cambridge studies in advanced mathematics 30.
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Representations and Cohomology (Cambridge Studies in Advanced Mathematics)
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Representations and cohomology. I: Basic representation theory of finite groups and associative algebras.
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30)
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ISBN 10: 0521361346
ISBN 13: 9780521361347
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30)
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Cambridge University Press, 1991
ISBN 10: 0521361346
ISBN 13: 9780521361347
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Hardcover)
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Cambridge University Press, Cambridge, 1991
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ISBN 13: 9780521361347
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521361347
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras (Cambridge Studies in Advanced Mathematics, Series Number 30)
Published by
Cambridge University Press, 1991
ISBN 10: 0521361346
ISBN 13: 9780521361347
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Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
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ISBN 10: 0521361346
ISBN 13: 9780521361347
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Representations and Cohomology : Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
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