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Triangulated Categories in the Representation of Finite Dimensional Algebras 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

Triangulated Categories in the Representation of Finite Dimensional Algebras
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简体网页||繁体网页
Dieter Happel 作者
cambridge
译者
1988 出版日期
220 页数
$ 80.23 价格
London Mathematical Society Lecture Note Series 丛书系列
9780521339223 图书编码

Triangulated Categories in the Representation of Finite Dimensional Algebras 在线电子书 图书标签: 数学  表示论  代数   

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Triangulated Categories in the Representation of Finite Dimensional Algebras 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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Triangulated Categories in the Representation of Finite Dimensional Algebras 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025


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Triangulated Categories in the Representation of Finite Dimensional Algebras 在线电子书 图书描述

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.

Contents

Preface; 1. Triangulated categories; 2. Repetitive algebras; 3. Tilting theory; 4. Piecewise hereditary algebras; 5. Trivial extension algebras; References; Index.

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