Infinite Gabriel-Roiter measures for the 3-Kronecker quiver
Fahr P (2008)
Bielefeld (Germany): Bielefeld University.
Bielefelder E-Dissertation | Englisch
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Autor*in
Fahr, Philipp
Gutachter*in / Betreuer*in
Ringel, Claus Michael
Einrichtung
Abstract / Bemerkung
In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed.
Stichworte
Köcher (Mathematik);
Darstellungstheorie;
Nichtkommutative Algebra;
Assoziative Algebra;
Modul;
Fibonacci-Folge;
Quiver;
Gabriel-Roiter measure;
Coefficient quiver;
3-Regular tree;
Extended Kronecker quiver;
Fibonacci numbers
Jahr
2008
Page URI
https://pub.uni-bielefeld.de/record/2302435
Zitieren
Fahr P. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University; 2008.
Fahr, P. (2008). Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University.
Fahr, Philipp. 2008. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University.
Fahr, P. (2008). Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University.
Fahr, P., 2008. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver, Bielefeld (Germany): Bielefeld University.
P. Fahr, Infinite Gabriel-Roiter measures for the 3-Kronecker quiver, Bielefeld (Germany): Bielefeld University, 2008.
Fahr, P.: Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld University, Bielefeld (Germany) (2008).
Fahr, Philipp. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University, 2008.
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2019-09-25T06:24:13Z
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