Representations of Algebras

Proceedings of the Durham Symposium 1985
Erscheinungsjahr 1986
ISBN: 978-0-521-31288-2
Verlag: Cambridge University Press

Buch, Englisch, Band 116, 208 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 346 g

Reihe: London Mathematical Society Lecture Note Series

In this book the latest developments in representation theory are surveyed in a series of expository articles based on lectures given at the 1985 LMS Durham Symposium on representations of algebras. The emphasis is on the representation type of finite-dimensional algebras. Topics covered include almost split sequences, the theory of tubes, tilting functions, hammocks, and triangulated categories. There are also papers on the representation type of local rings of singularities, and on recent results in the modular representation theory of finite groups. All the articles are designed to be self contained and should be a useful aid to someone wishing to bring themselves up to date in the subject.

Autoren/Hrsg.

Webb, P. J.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

1. Introduction; 2. Representation theory of finite-dimensional algebras; 3. A survey of existence theorems for almost split sequences; 4. Representations of posets and tame matrix problems; 5. Geometry of representations of quivers; 6. Cohen-Macaulay modules on hypersurface singularities; 7. Almost split sequences and algebraic geometry; 8. Representation rings of finite groups.