Auslander-Buchweitz Approximations of Equivariant Modules - Mitsuyasu Hashimoto

Auslander-Buchweitz Approximations of Equivariant Modules

Buch | Softcover
298 Seiten
2000
Cambridge University Press (Verlag)
978-0-521-79696-5 (ISBN)
68,55 inkl. MwSt
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.
This book, first published in 2000, focuses on homological aspects of equivariant modules. It presents a homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. It aims to overcome the difficulty of generalising known homological results in representation theory. This book will be of interest to researchers and graduate students in algebra, specialising in commutative ring theory and representation theory.

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.

Erscheint lt. Verlag 2.11.2000
Reihe/Serie London Mathematical Society Lecture Note Series
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 440 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-521-79696-2 / 0521796962
ISBN-13 978-0-521-79696-5 / 9780521796965
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich