Tame hereditary path algebras and amenability

Eckert S (2023)
Bulletin of the London Mathematical Society .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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DOI
URN
urn:nbn:de:0070-pub-29698428
Autor*in
Eckert, SebastianUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
In this note we revisit the notion of amenable representation type introduced by Gabor Elek. We show that tame hereditary path algebras of quivers of extended Dynkin type over any field k$k$ are of amenable type. This verifies a conjecture of Elek, which draws similarities to the tame-wild dichotomy, for another class of tame algebras. We also show that path algebras of wild acyclic quivers over finite fields are not amenable.
Erscheinungsjahr
2023
Zeitschriftentitel
Bulletin of the London Mathematical Society
Urheberrecht / Lizenzen
Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)
ISSN
0024-6093
eISSN
1469-2120
Page URI
https://pub.uni-bielefeld.de/record/2969842

Zitieren

Eckert S. Tame hereditary path algebras and amenability. Bulletin of the London Mathematical Society . 2023.
Eckert, S. (2023). Tame hereditary path algebras and amenability. Bulletin of the London Mathematical Society . https://doi.org/10.1112/blms.12822
Eckert, Sebastian. 2023. “Tame hereditary path algebras and amenability”. Bulletin of the London Mathematical Society .
Eckert, S. (2023). Tame hereditary path algebras and amenability. Bulletin of the London Mathematical Society .
Eckert, S., 2023. Tame hereditary path algebras and amenability. Bulletin of the London Mathematical Society .
S. Eckert, “Tame hereditary path algebras and amenability”, Bulletin of the London Mathematical Society , 2023.
Eckert, S.: Tame hereditary path algebras and amenability. Bulletin of the London Mathematical Society . (2023).
Eckert, Sebastian. “Tame hereditary path algebras and amenability”. Bulletin of the London Mathematical Society (2023).
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2024-02-06T13:40:32Z
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