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_PDF_ Triangulated Categories in the Representation of Finite Dimensional Algebras (London Mathematical Society Lecture Note Series, Series Number 119)

COPY LINK TO DOWNLOAD BELLOW *********************************** https://totalcontroll.blogspot.com/?lite=0521339227 *********************************** 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 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 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. em em

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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 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 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. em em

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Triangulated Categories in the Representation of Finite Dimensional Algebras (London

Mathematical Society Lecture Note Series, Series Number 119)

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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 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 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. em em

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 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 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. em em

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