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
發表於2024-11-22
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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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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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