Representation theory of Dynkin quivers. Three contributions

Ringel CM (2016)
Frontiers of Mathematics in China 11(4): 765-814.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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.
Stichworte
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; simplification; hammocks; the 2-4-8 property; the; magic Freudenthal-Tits square
Erscheinungsjahr
2016
Zeitschriftentitel
Frontiers of Mathematics in China
Band
11
Ausgabe
4
Seite(n)
765-814
Konferenz
7th China-Japan-Korea International Conference on Ring Theory
Konferenzort
Hangzhou, PEOPLES R CHINA
ISSN
1673-3452
eISSN
1673-3576
Page URI
https://pub.uni-bielefeld.de/record/2907446

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Ringel CM. Representation theory of Dynkin quivers. Three contributions. Frontiers of Mathematics in China. 2016;11(4):765-814.
Ringel, C. M. (2016). Representation theory of Dynkin quivers. Three contributions. Frontiers of Mathematics in China, 11(4), 765-814. doi:10.1007/s11464-016-0548-5
Ringel, C. M. (2016). Representation theory of Dynkin quivers. Three contributions. Frontiers of Mathematics in China 11, 765-814.
Ringel, C.M., 2016. Representation theory of Dynkin quivers. Three contributions. Frontiers of Mathematics in China, 11(4), p 765-814.
C.M. Ringel, “Representation theory of Dynkin quivers. Three contributions”, Frontiers of Mathematics in China, vol. 11, 2016, pp. 765-814.
Ringel, C.M.: Representation theory of Dynkin quivers. Three contributions. Frontiers of Mathematics in China. 11, 765-814 (2016).
Ringel, Claus Michael. “Representation theory of Dynkin quivers. Three contributions”. Frontiers of Mathematics in China 11.4 (2016): 765-814.