Triangulated Categories in the Representation Theory of Finite Dimensional Algebras

Triangulated Categories in the Representation Theory of Finite Dimensional Algebras

eBook - 1988
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Cambridge Univ Pr
An introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras.
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.

Publisher: Cambridge ; New York : Cambridge University Press, 1988
ISBN: 9781107361362
1107361362
9780511892271
0511892276
0521339227
9780521339223
Characteristics: 1 online resource (208 pages)

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