Representations of Algebras and Related Topics

ISBN-13: 9780521424110 / Angielski / Miękka / 1992 / 304 str.

Sheila Brenner; H. Tachikawa

Opis

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.

Spis treści

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.