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Item Details
Title: TRIANGULATED CATEGORIES IN THE REPRESENTATION OF FINITE DIMENSIONAL ALGEBRAS
By: Dieter Happel
Format: Electronic book text

List price: £85.00


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ISBN 10: 0511629222
ISBN 13: 9780511629228
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 28 January, 2010
Series: London Mathematical Society Lecture Note Series 119
Description: An introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras.
Synopsis: 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.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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