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Triangulated categories in the representation theory of finite dimensional algebras /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1988.
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| Colección: | London Mathematical Society lecture note series ;
119. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (208 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781107361362 1107361362 9780511892271 0511892276 1139881760 9781139881760 1107366275 9781107366275 1107368448 9781107368446 1299404065 9781299404069 1107363810 9781107363816 0511629222 9780511629228 |