报告题目：Auslander-Reiten theory in a Krull-Schmidt category

报告人：刘石平 教授 （University of Sherbrooke，加拿大）

报告时间：2013年6月18,19,21日   10:00-11:00

报告地点：管理科研楼1518室

摘要： We introduce the notion of an Auslander-Reiten sequence in a Krull-Schmidt category. This unifies the notion of an almost split sequence in an abelian category and that of an Auslander-Reiten triangle in a triangulated category. We then define the Auslander-Reiten quiver of a Krull-Schmidt category and describe the shapes of its semi-stable components. The main result generalizes those for an artin algebra and specializes to an arbitrary triangulated categories, in particular to the derived category of bounded complexes of finitely generated modules over an artin algebra of finite global dimension.

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