Triangulated Categories in the Representation of Finite Dimensional Algebras
Part of London Mathematical Society Lecture Note Series
- Author: Dieter Happel
- Date Published: February 1988
- availability: Available
- format: Paperback
- isbn: 9780521339223
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras. In recent years representation theory has been an area of intense research and the author shows that derived categories of finite-dimensional algebras are a useful tool in studying tilting processes. Results on the structure of derived categories of hereditary algebras are used to investigate Dynkin algebras and interated tilted algebras. The author shows how triangulated categories arise naturally in the study of Frobenius categories. The study of trivial extension algebras and repetitive algebras is then developed using the triangulated structure on the stable category of the algebra's module category. With a comprehensive reference section, algebraists and research students in this field will find this an indispensable account of the theory of finite-dimensional algebras.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: February 1988
- format: Paperback
- isbn: 9780521339223
- length: 220 pages
- dimensions: 228 x 153 x 19 mm
- weight: 0.328kg
- availability: Available
Table of Contents
Preface
1. Triangulated categories
2. Repetitive algebras
3. Tilting theory
4. Piecewise hereditary algebras
5. Trivial extension algebras
References
Index.
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.
×