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Representation theory of Dynkin quivers. Three contributions
Received date: 16 Jan 2016
Accepted date: 11 Apr 2016
Published date: 30 Aug 2016
Copyright
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 represen-tations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers.
Key words： 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
Claus Michael RINGEL . Representation theory of Dynkin quivers. Three contributions[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 765 -814 . DOI: 10.1007/s11464-016-0548-5
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