Auslander-Buchweitz Approximations of Equivariant Modules
$70.99 (C)
Part of London Mathematical Society Lecture Note Series
- Author: Mitsuyasu Hashimoto, Nagoya University, Japan
- Date Published: November 2000
- availability: Available
- format: Paperback
- isbn: 9780521796965
$
70.99
(C)
Paperback
Other available formats:
eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
-
This book presents a new 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 coalgebras over an arbitrary base. It aims to overcome the difficulty of generalizing known homological results in representation theory.
Read more- A guide to equivariant modules
- Written by a leading researcher in the field
Reviews & endorsements
"The reviewer enthusiastically recommends it for anyone, including beginners, who wants to see the Auslander-Buchweitz approximations in action." Mathematical Reviews
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: November 2000
- format: Paperback
- isbn: 9780521796965
- length: 298 pages
- dimensions: 229 x 152 x 17 mm
- weight: 0.44kg
- availability: Available
Table 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.-
General Resources
Find resources associated with this title
Type Name Unlocked * Format Size Showing of
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to instructors whose faculty status has been verified. To gain access to locked resources, instructors should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other instructors may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Instructors are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact lecturers@cambridge.org.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×