Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Triangulated Categories in the Representation of Finite Dimensional Algebras

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Dieter Happel 作者
cambridge
譯者
1988 出版日期
220 頁數
$ 80.23 價格
London Mathematical Society Lecture Note Series 叢書系列
9780521339223 圖書編碼

Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 圖書標籤: 數學  錶示論  代數   


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Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 著者簡介


Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 著者簡介


Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Triangulated Categories in the Representation of Finite Dimensional Algebras 在線電子書 圖書描述

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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