Clannish algebras are of amenable representation type

Eckert S (2022)
arXiv:2208.08838.

Preprint | Englisch
 
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Autor*in
Eckert, SebastianUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
We revisit G. Elek's notion of amenable representation type, where algebras are characterised by every indecomposable module being "almost" the direct sum of modules of bounded dimension. We give a new proof of his result that string algebras are amenable that relies on the planarity of the coefficient quivers of indecomposable string and band modules. Using this connection to graph theory, we then show that clannish algebras are also of amenable type.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv:2208.08838
Seite(n)
12
Page URI
https://pub.uni-bielefeld.de/record/2980386

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Eckert S. Clannish algebras are of amenable representation type. arXiv:2208.08838. 2022.
Eckert, S. (2022). Clannish algebras are of amenable representation type. arXiv:2208.08838
Eckert, Sebastian. 2022. “Clannish algebras are of amenable representation type”. arXiv:2208.08838.
Eckert, S. (2022). Clannish algebras are of amenable representation type. arXiv:2208.08838.
Eckert, S., 2022. Clannish algebras are of amenable representation type. arXiv:2208.08838.
S. Eckert, “Clannish algebras are of amenable representation type”, arXiv:2208.08838, 2022.
Eckert, S.: Clannish algebras are of amenable representation type. arXiv:2208.08838. (2022).
Eckert, Sebastian. “Clannish algebras are of amenable representation type”. arXiv:2208.08838 (2022).
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