An introduction to modern developments in the representation theory of finite groups and associative algebras.
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"...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
This volume is a self-contained introduction to the ideas needed to understand modern developments in the representation theory of finite groups and associative algebras. Much of the material presented here has never appeared before in book form.
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Paperback. Condition: new. Paperback. 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. Author D. Benson concentrates on the cohomology of groups, always with representations in view. He also gives an overview of the algebraic topology and K-theory associated with the cohomology of groups and discusses algebraic and topological proofs of the finite generation of the cohomology ring of a finite group. Students and researchers will appreciate this exposition on the essential results of modern representation theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521636537
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