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Representations and cohomology I. Volume 1, Basic representation theory of finite groups and associative algebras [Book] / D.J. Benson. algebras.

By: Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 30 | Cambridge studies in advanced mathematics ; 30Publication details: New Delhi : Cambridge University Press (India), 1998.Edition: [2nd ed.]Description: xi,246p. ; 23cmISBN:
  • 9780521169882
Subject(s): DDC classification:
  • 512.72 21
Other classification:
  • 512.72
Summary: 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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Previous ed.: 1991.

Bibliography: p225-235. _ Includes index.

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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