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.
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