Representations and Cohomology Volume 2, Cohomology of Groups and Modules [Paperback]

A further introduction to modern developments in the representation theory of finite groups and associative algebras.Now in paperback this is the first of two volumes that will provide an introdcution to modern developments in the representation theory of f inite 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.The heart of the book is a lengthy introduction to the represntation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.Now in paperback this is the first of two volumes that will provide an introdcution to modern developments in the representation theory of f inite 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.The heart of the book is a lengthy introduction to the represntation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.Conventions and notations; Introduction; 1. Background material from algebraic topology; 2. Cohomology of groups; 3. Spectral sequences; 4. The Evens norm map and the Steenrod algebra; 5. Varieties for modules and multiple complexes; 6. Group actions and the Steinberg module; 7. Local coefficients on subgroup complexes; Bibliography; Index.