Exceptional objects in hereditary categories

Ringel CM (1996)
In: Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta. Roggenkamp KW, Stefanescu M (Eds); Seria Matematica, 4(2). Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania: 150-158.

Konferenzbeitrag | Veröffentlicht | Englisch
 
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Herausgeber*in
Roggenkamp, Klaus W.; Stefanescu, Mirela
Abstract / Bemerkung
Let k be a field and A a finite dimensional k-category which is a hereditary length category. We are going to show that the support algebra of any object of A without self-extension is a finite dimensional k-algebra. An object in A is said to be exceptional provided it is indecomposable and has no self-extensions. For an algebraically closed field k, Schofield has exhibited an algorithm for obtaining all exceptional objects starting from the simple ones. We will present a proof which works for arbitrary fields k.
Erscheinungsjahr
1996
Titel des Konferenzbandes
Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta
Band
4
Ausgabe
2
Seite(n)
150-158
Konferenz
Representation Theory of Groups, Algebras, and Orders
Konferenzort
Constanta
Konferenzdatum
1995-09-25 – 1995-10-06
ISSN
1224-1784
eISSN
1844-0835
Page URI
https://pub.uni-bielefeld.de/record/2940909

Zitieren

Ringel CM. Exceptional objects in hereditary categories. In: Roggenkamp KW, Stefanescu M, eds. Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta. Seria Matematica. Vol 4. Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania; 1996: 150-158.
Ringel, C. M. (1996). Exceptional objects in hereditary categories. In K. W. Roggenkamp & M. Stefanescu (Eds.), Seria Matematica: Vol. 4. Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta (pp. 150-158). Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.
Ringel, C. M. (1996). “Exceptional objects in hereditary categories” in Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta, Roggenkamp, K. W., and Stefanescu, M. eds. Seria Matematica, vol. 4, (Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania), 150-158.
Ringel, C.M., 1996. Exceptional objects in hereditary categories. In K. W. Roggenkamp & M. Stefanescu, eds. Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta. Seria Matematica. no.4 Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania, pp. 150-158.
C.M. Ringel, “Exceptional objects in hereditary categories”, Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta, K.W. Roggenkamp and M. Stefanescu, eds., Seria Matematica, vol. 4, Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania, 1996, pp.150-158.
Ringel, C.M.: Exceptional objects in hereditary categories. In: Roggenkamp, K.W. and Stefanescu, M. (eds.) Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta. Seria Matematica. 4, p. 150-158. Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania (1996).
Ringel, Claus Michael. “Exceptional objects in hereditary categories”. Analele Stiintifice ale Universitatii Ovidius Constanta. Proceedings: Representation Theory of Groups, Algebras, and Orders. September 25 - October 6, 1995, Constanta. Ed. Klaus W. Roggenkamp and Mirela Stefanescu. Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania, 1996.Vol. 4. Seria Matematica. 150-158.

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