Modular Representation Theory: New Trends and Methods

ISBN-13: 9783540133896 / Angielski / Miękka / 1984 / 231 str.

D. Benson

Opis

The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century. Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction.

Spis treści

Rings and Modules.- Modules for Group Algebras.