Representations of Algebras: Proceedings of the Durham Symposium 1985

ISBN-13: 9780521312882 / Angielski / Miękka / 1987 / 208 str.

P. J. Webb; P. J. Webb

Opis

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.

Spis treści

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.