Auslander-Buchweitz Approximations of Equivariant Modules

List of contents

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.

Summary

This book, first published in 2000, focuses on homological aspects of equivariant modules and discusses interactions between commutative ring theory and representation theory. The book aims to unify two important examples of Auslander-Buchweitz approximations in these areas of algebra. It is primarily aimed at researchers but will also be suitable for graduate students.

Product details

• Authors: Mitsuyasu Hashimoto
• Assisted by: J. W. S. Cassels (Editor), N. J. Hitchin (Editor)
• Publisher: Cambridge University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 04.01.2013
• EAN: 9780521796965
• ISBN: 978-0-521-79696-5
• No. of pages: 298
• Dimensions: 152 mm x 229 mm x 18 mm
• Weight: 487 g
• Series: Australian Mathematical Societ
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra