Dieter Happel - Böcker
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2 produkter
2 produkter
Del 119 - London Mathematical Society Lecture Note Series
Triangulated Categories in the Representation of Finite Dimensional Algebras
Häftad, Engelska, 1988
613 kr
Skickas inom 7-10 vardagar
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.
Del 332 - London Mathematical Society Lecture Note Series
Handbook of Tilting Theory
Häftad, Engelska, 2007
1 192 kr
Skickas inom 7-10 vardagar
Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike.