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<図書>
Triangulated categories in the representation theory of finite dimensional algebras

責任表示 Dieter Happel
シリーズ London Mathematical Society lecture note series ; 119
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 1988
本文言語 英語
大きさ ix, 208 p. : ill. ; 23 cm
概要 Happel presents an introduction to the use of triangulated categories in the study of representations of finit-dimensional algeras. In recent years representation theory has been an area of intense re...earch 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 iterated 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. 続きを見る
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所蔵情報


理系図3F 数理独自 068222195007917 HAPP/20/1 1988

書誌詳細

一般注記 Bibliography: p. 203-206
Includes index
著者標目 *Happel, Dieter, 1953-
件 名 LCSH:Categories (Mathematics)
LCSH:Representations of algebras
LCSH:Modules (Algebra)
分 類 LCC:QA169
DC19:512/.55
NDC8:415.7
書誌ID 1000031736
ISBN 0521339227
NCID BA01480619
巻冊次 ISBN:0521339227
登録日 2009.09.10
更新日 2017.02.18

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