ENGLISH

Triangulated categories in the representation of finite dimensional algebras

By Dieter Happel

Book information

Publisher
CUP
Year
1988
ISBN
9780521339223, 0521339227
LCC
QA169
Open Library ID
OL21499966M
Language
english
Format
DJVU
Filesize
1 MB (1049733 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
219\219
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

Happel presents an introduction to the use of triangulated categories in the study of representations of finit-dimensional algeras. 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 iterated 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.

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