Representations of Algebras and Related Topics [Paperback]

A collection of expository surveys given by some distinguished mathematicians during the 1990 International Mathematical Congress.Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given by distinguished mathematicians are included here.Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given by distinguished mathematicians are included here.This book contains important review articles on topics in and closely related to the Representation Theory of Algebras. Most of them contain major new results not published elsewhere. It appears at a time of increasing interaction between the Representation Theory of Algebras and other areas of mathematics (e.g. group representations, quantum groups, vector bundles, and C* saveebras). Several of the articles are concerned with such interactions or are motivated by problems arising from them.1.Contravariantly finite subcategories of module categories; 2. Countably generated pure-projective and pure-injective modules; 3. Projective resolutions and cohomology of group rings; 4. Tame algebras; 5. Quasi-hereditary algebras; 6. Matrix problems, tilting theory and representations of Lie groups; 7. Some classification problems for modular representations of groups; 8. Loewy algebras as quantizations of Lie algebras.