报告题目:Representations of hereditary artin algebras of Dynkin type
报告人:刘石平(Université de Sherbrooke)
时间: 7月11日(周五)下午3:30-4:30
地点:理科楼A404
摘要:Let H be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander-Reiten quiver Γ(modH)of the category modH of finitely generated left H-modules. This enables us to obtain an effetive method to construct Γ(modH) by simply viewing the ext-quiver of H. As easy applications, we compute the numbers of non-isomorphic indecomposable objects in modH and the associated cluster category C(H), as well as the nilpotencies of the radicals of modH, D^b(modH) and C(H).
报告人简介:Dr. Shiping Liu(刘石平), 现为拿大谢布克大学教授。他于1991年在英国 Liverpool University获得博士学位,1990-1995年在挪威Trondheim University , 新加坡National University of Singapore先后短期任教; 1995年至今在加拿大the University of Sherbrooke工作。刘石平教授的研究领域是: the representation theory of artin algebras, infinite dimensional algebras and graded algebras; homological algebra; derived cateogries; cluster categories; Koszul theory.
邀请人:朱彬