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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1988
|
| Schriftenreihe: | London Mathematical Society lecture note series
119 |
| Links: | https://doi.org/10.1017/CBO9780511629228 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (208 Seiten) |
| ISBN: | 9780511629228 |
Internformat
MARC
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| 100 | 1 | |a Happel, Dieter |d 1953- | |
| 245 | 1 | 0 | |a Triangulated categories in the representation theory of finite dimensional algebras |c Dieter Happel |
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| 520 | |a 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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| spelling | Happel, Dieter 1953- Triangulated categories in the representation theory of finite dimensional algebras Dieter Happel Cambridge Cambridge University Press 1988 1 Online-Ressource (208 Seiten) txt c cr London Mathematical Society lecture note series 119 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. Erscheint auch als Druck-Ausgabe 9780521339223 |
| spellingShingle | Happel, Dieter 1953- Triangulated categories in the representation theory of finite dimensional algebras |
| title | Triangulated categories in the representation theory of finite dimensional algebras |
| title_auth | Triangulated categories in the representation theory of finite dimensional algebras |
| title_exact_search | Triangulated categories in the representation theory of finite dimensional algebras |
| title_full | Triangulated categories in the representation theory of finite dimensional algebras Dieter Happel |
| title_fullStr | Triangulated categories in the representation theory of finite dimensional algebras Dieter Happel |
| title_full_unstemmed | Triangulated categories in the representation theory of finite dimensional algebras Dieter Happel |
| title_short | Triangulated categories in the representation theory of finite dimensional algebras |
| title_sort | triangulated categories in the representation theory of finite dimensional algebras |
| work_keys_str_mv | AT happeldieter triangulatedcategoriesintherepresentationtheoryoffinitedimensionalalgebras |