A=U for Locally Acyclic Cluster Algebras

This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2014
1. Verfasser: Muller, G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2014
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146600
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:A=U for Locally Acyclic Cluster Algebras / G. Muller // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Muller, G.
author_facet Muller, G.
citation_txt A=U for Locally Acyclic Cluster Algebras / G. Muller // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
first_indexed 2025-11-27T00:43:10Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-27T00:43:10Z
publishDate 2014
publisher Інститут математики НАН України
record_format dspace
spelling Muller, G.
2019-02-10T09:50:02Z
2019-02-10T09:50:02Z
2014
A=U for Locally Acyclic Cluster Algebras / G. Muller // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 13F60; 13B30
DOI:10.3842/SIGMA.2014.094
https://nasplib.isofts.kiev.ua/handle/123456789/146600
This note presents a self-contained proof that acyclic and locally acyclic cluster algebras coincide with their upper cluster algebras.
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. The author gratefully acknowledges the referees for suggestions incorporated into the final version
 of this note.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
A=U for Locally Acyclic Cluster Algebras
Article
published earlier
spellingShingle A=U for Locally Acyclic Cluster Algebras
Muller, G.
title A=U for Locally Acyclic Cluster Algebras
title_full A=U for Locally Acyclic Cluster Algebras
title_fullStr A=U for Locally Acyclic Cluster Algebras
title_full_unstemmed A=U for Locally Acyclic Cluster Algebras
title_short A=U for Locally Acyclic Cluster Algebras
title_sort a=u for locally acyclic cluster algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/146600
work_keys_str_mv AT mullerg auforlocallyacyclicclusteralgebras