吴文俊数学重点实验室代数学系列报告之七十九【章超】

发布者:系统管理员发布时间:2015-11-09浏览次数:33

报告题目:On the derived representation type of finite-dimensional algebras

报告人:章超 副教授(贵州大学)

时间:2015年11月13日,10:00-11:00

地点:管理科研楼1308教室

摘要:In this talk, we will introduce  some numerical invariants including cohomological length,  cohomological width, and cohomological range of a complex. The cohomological range leads to the concepts of derived bounded algebra and strongly derived unbounded algebra. Then we will describe the Brauer-Thrall type theorems for the bounded derived category of a finite-dimensional algebra. Moreover, we characterize the strongly derived unbounded algebra $A$ via the category $C_m(/proj A)$ and also the repetitive algebra $/hat{A}$, which provides a proof of the dichotomy on the representation type of $C_m(/proj A)$ and $/hat{A}$.


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