Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

Representations and Cohomology

Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

1991 • 260 pages

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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86 primary books

Cambridge Studies in Advanced Mathematics

Cambridge Studies in Advanced Mathematics is a 86-book series with 89 primary works first released in 1982 with contributions by Peter T. Johnstone, Jean-Pierre Kahane, and J. Lambek.

Stone Spaces
Some Random Series of Functions
Introduction to Higher-Order Categorical Logic
Commutative Ring Theory
Finite Group Theory
Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
An Introduction to the Theory of the Riemann Zeta-Function
Algebraic Homotopy
Introductory Lectures on Siegel Modular Forms
Clifford Algebras and Dirac Operators in Harmonic Analysis
Topics in Metric Fixed Point Theory
Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

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