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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2014 Volume 10, 094, 8 pp. (Mi sigma959)

This article is cited in 17 papers

$\mathcal{A}=\mathcal{U}$ for Locally Acyclic Cluster Algebras

Greg Muller

Department of Mathematics, Louisiana State University, USA

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

Keywords: cluster algebras; upper cluster algebras; acyclic cluster algebras.

MSC: 13F60; 13B30

Received: May 16, 2014; in final form August 25, 2014; Published online September 3, 2014

Language: English

DOI: 10.3842/SIGMA.2014.094



Bibliographic databases:
ArXiv: 1308.1141


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