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Tau-tilting modules over Auslander algebras-张孝金 教授(南京信息工程大学数学与统计学院)

题目:Tau-tilting modules over Auslander algebras

报告人:张孝金 教授(南京信息工程大学数学与统计学院)

摘要:In this talk, we focus on the tau-tilting modules over Auslander algebras. We show that the Auslander algebra of K[x]/(x^n) is tau-tilting finite and there is a bijection between the set of isomorphism classes of support tau-tilting modules and the symmetric group of order n+1. Moreover, we show that the Auslander algebra of KQ is tau-tilting finite if and only if n is at most 4, where Q is the direct quiver with n vertices. This talk is based on joint works with Osamu Iyama.

时间:5月12日(周五)上午9:30-10:30

地点:首都师范大学新教二楼524教室

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