Triangulated Categories in the Representation of Finite Dimensional Algebras
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Triangulated Categories in the Representation of Finite Dimensional Algebras by Dieter Happel
Book DescriptionThis 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.
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Book DetailsISBN: 9780521339223
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 11-Feb-1988
Country of Publication: United Kingdom
Books By Author Dieter Happel
Handbook of Tilting Theory, Paperback (January 2007)» View all books by Dieter Happel
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
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