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...

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Bibliographic Details

Main Author:	Happel, Dieter 1953- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1988
Series:	London Mathematical Society lecture note series 119
Subjects:	Triangulated categories Representations of algebras Modules (Algebra) Darstellungstheorie Algebra Triangulation Dimension n Kategorie > Mathematik
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (208 pages.)
ISBN:	9780511629228
DOI:	10.1017/CBO9780511629228