Auslander-Buchweitz Approximations of Equivariant Modules (Paperback)

Introduction; Conventions and terminology; Part I. Background Materials: 1. From homological algebra; 2. From Commutative ring theory; 3. Hopf algebras over an arbitrary base; 4. From representation theory; 5. Basics on equivariant modules; Part II. Equivariant Modules: 1. Homological aspects of (G, A)-modules; 2. Matijevic-Roberts type theorem; Part III. Highest Weight Theory: 1. Highest weight theory over a field; 2. Donkin systems; 3. Ringel's theory over a field; 4. Ringel's theory over a commutative ring; Part IV. Approximations of Equivariant Modules; 1. Approximations of (G, A)-modules; 2. An application to determinantal rings; Bibliography; Index; Glossary.