Representations and Cohomology: Volume 1, 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 by D. J. Benson
Book DescriptionThis 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.
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Book DetailsISBN: 9780521636537
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Jun-1998
Country of Publication: United Kingdom
Books By Author D. J. Benson
Music: A Mathematical Offering, Paperback (November 2006)
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Representations and Cohomology: Volume 2, Cohomology of Groups and Modules, Paperback (June 1998)
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Polynomial Invariants of Finite Groups, Paperback (October 1993)
This is the first book to deal with invariant theory and the representations of finite groups.
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras, Hardback (March 1991)» View all books by D. J. Benson
An introduction to modern developments in the representation theory of finite groups and associative algebras.
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