| Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras Revised Edition Contributor(s): Benson, D. J. (Author) |
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ISBN: 0521636531 ISBN-13: 9780521636537 Publisher: Cambridge University Press OUR PRICE: $74.09 Product Type: Paperback - Other Formats Published: September 1998 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Number Theory - Mathematics | Algebra - General |
| Dewey: 512.72 |
| Series: Cambridge Studies in Advanced Mathematics (Paperback) |
| Physical Information: 0.56" H x 6.02" W x 8.99" (0.79 lbs) 260 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |