Representation theory of Dynkin quivers. Three contributions  

作　　者：Claus Michael RINGEL 

机构地区：[1]Fakultat fiir Mathematik, Universitat Bielefeld, P. O. Box 100 131, D-33501 Bielefeld, Germany [2]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

出　　处：《Frontiers of Mathematics in China》2016年第4期765-814,共50页中国高等学校学术文摘·数学（英文）

摘　　要：The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin （and Euclidean） quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers.The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin （and Euclidean） quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers.

关 键 词：QUIVER Dynkin quiver Euclidean quiver the exceptional vertices of a Dynkin quiver representations of quivers thin representations filtrations of vector spaces conical representations of star quivers Auslander- Reiten quiver thick subcategories perpendicular subcategories one-point extension antichains of a poset antichains of an additive category simplifi- cation hammocks the 2-4-8 property the magic Freudenthal-Tits square 

分 类 号：O157.5[理学—数学] O152.5[理学—基础数学]