报告题目:G-semisimple algebras
报告人:Rasool Hafezi,南京信息工程大学
报告时间:2024年11月29日(周五)16:00-17:00
报告地点:20-200
报告摘要:In my talk, I will introduce the concept of G-semisimple algebras, which contains several important class of algebras, including gentle algebras. I will begin by discussing the basic properties of G-semisimple algebras. Furthermore, I will explore the subcategory of Gorenstein projective representations Gprj(Q,A) of an acyclic quiver Q over a G-semisimple algebra A, and establish an epivalence between the stable category of Gprj(Q,A) and the category of representations of Q over the stable category Gprj-A. In particular, I will focus on the case where the quiver is of type A_n. I will establish a fascinating periodicity phenomenon in terms of n within the stable Auslander-Reiten quiver of the subcategory of Gorenstein projective representations over A_n.
报告人简介:Rasool Hafezi,博士毕业于伊朗University of Isfahan,现为南京信息工程大学教授,研究方向为代数表示论。论文发表于 J. Algebra, Sci. China Math., Forum Math. Canada J. Math. 等多个著名期刊。现任Bulletin of the Iranian Mathematical Society编辑。
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