Infinite Length Modules (Trends in Mathematics)

✍ Scribed by Henning Krause, Claus M. Ringel (editors)

• Publisher: Birkhäuser Basel
• Year: 2000
• Tongue: English
• Leaves: 447
• Series: Trends in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

This book is concerned with the role played by modules of infinite length when dealing with problems in the representation theory of groups and algebras, but also in topology and geometry; it shows the intriguing interplay between finite and infinite length modules.The volume presents the invited lectures of a conference devoted to "Infinite Length Modules", held at Bielefeld in September 1998, which brought together experts from quite different schools in order to survey surprising relations between algebra, topology and geometry. Some additional reports have been included in order to establish a unified picture. The collection of articles, written by well-known experts from all parts of the world, is conceived as a sort of handbook which provides an easy access to the present state of knowledge and its aim is to stimulate further development.

✦ Table of Contents

Contents......Page all_5197_to_00445.cpc0003.djvu
Preface......Page all_5197_to_00445.cpc0005.djvu
Ringel: Infinite length modules. Some examples as introduction......Page all_5197_to_00445.cpc0008.djvu
Eklof: Modules with strange decomposition properties......Page all_5197_to_00445.cpc0082.djvu
Facchini: Failure of the Krull-Schmidt Theorem for Artinian modules and serial modules......Page all_5197_to_00445.cpc0096.djvu
Pimenov and Yakovlev: Artinian modules over a matrix ring......Page all_5197_to_00445.cpc0108.djvu
Göbel: Some combinatorial principles for solving algebraic problems......Page all_5197_to_00445.cpc0114.djvu
Lenagan: Dimension theory of Noetherian rings......Page all_5197_to_00445.cpc0136.djvu
Bavula: Krull, Gelfand-Kirillov, filter, faithful and Schur dimensions......Page all_5197_to_00445.cpc0156.djvu
Martsinkovsky: Cohen-Macaulay modules and approximations......Page all_5197_to_00445.cpc0174.djvu
Kuhn: The generic representation theory of finite fields: a survey of basic structure......Page all_5197_to_00445.cpc0200.djvu
Powell: On Artinian objects in the category of functors between F2-vector spaces......Page all_5197_to_00445.cpc0220.djvu
Schwartz: Unstable modules over the Steenrod algebra, functors, and the cohomology of spaces......Page all_5197_to_00445.cpc0236.djvu
Benson: Infinite dimensional modules for finite groups......Page all_5197_to_00445.cpc0258.djvu
Rickard: Bousfield localization for representation theorists......Page all_5197_to_00445.cpc0280.djvu
Carlson: The thick subcategory generated by the trivial module......Page all_5197_to_00445.cpc0291.djvu
Schofield: Birational classification of moduli spaces......Page all_5197_to_00445.cpc0303.djvu
Zwara: Tame algebras and degenerations of modules......Page all_5197_to_00445.cpc0317.djvu
Bautista: On some tame and discrete families of modules......Page all_5197_to_00445.cpc0327.djvu
Huisgen-Zimmermann: Purity, algebraic compactness, direct sum decompositions, and representation type......Page all_5197_to_00445.cpc0337.djvu
Prest: Topological and geometric aspects of the Ziegler spectrum......Page all_5197_to_00445.cpc0375.djvu
Krause: Finite versus infinite dimensional representations - a new definition of tameness......Page all_5197_to_00445.cpc0399.djvu
Lenzing: Invariance of tameness under stable equivalence: Krause's theorem......Page all_5197_to_00445.cpc0411.djvu
Schröer: The Krull-Gabriel dimension of an algebra - open problems and conjectures......Page all_5197_to_00445.cpc0425.djvu
Smalø: Homological differences between finite and infinite dimensional representations of algebras......Page all_5197_to_00445.cpc0431.djvu