Skip to content
Register Sign in Wishlist
Representation Theory of Artin Algebras

Representation Theory of Artin Algebras

$127.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: August 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521599238

$ 127.00 (P)
Paperback

Add to cart Add to wishlist

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.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book serves as a comprehensive introduction to the representation theory of Artin algebras, a branch of algebra. Written by three distinguished mathematicians, it illustrates how the theory of almost split sequences is utilized within representation theory. The authors develop several foundational aspects of the subject. For example, the representations of quivers with relations and their interpretation as modules over the factors of path algebras is discussed in detail. Thorough discussions yield concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems and numerous exercises. It is an invaluable resource for graduate students and researchers.

    • Self-contained presentation
    • Complete proofs given
    • Emphasis on foundational aspects
    Read more

    Reviews & endorsements

    "Here is the book you may have been waiting for for a long time, maybe for fifteen years: a general introduction to the new representation theory of finite-dimensional algebras....One has to be grateful to the authors for a competent and readable introduction to the subject....The book can be recommended without reservation! It surely will serve as a standard reference." Claus Michael Ringel, Bulletin of the American Mathematical Society

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: August 1997
    • format: Paperback
    • isbn: 9780521599238
    • length: 440 pages
    • dimensions: 228 x 152 x 23 mm
    • weight: 0.6kg
    • contains: 6 b/w illus.
    • availability: Available
  • Table of Contents

    1. Artin rings
    2. Artin algebras
    3. Examples of algebras and modules
    4. The transpose and the dual
    5. Almost split sequences
    6. Finite representation type
    7. The Auslander-Reiten-quiver
    8. Hereditary algebras
    9. Short chains and cycles
    10. Stable equivalence
    11. Modules determining morphisms.

  • Authors

    Maurice Auslander, Brandeis University, Massachusetts

    Idun Reiten, Kunstakademiet i Trondheim, Norway

    Sverre O. Smalo, Kunstakademiet i Trondheim, Norway

Related Books

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
Please note that this file is password protected. You will be asked to input your password on the next screen.

» 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 ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.

×
Please fill in the required fields in your feedback submission.
×