Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 094, 8 pages      arXiv:1308.1141
Contribution to the Special Issue on New Directions in Lie Theory

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

Greg Muller
Department of Mathematics, Louisiana State University, USA

Received May 16, 2014, in final form August 25, 2014; Published online September 03, 2014

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

Key words: cluster algebras; upper cluster algebras; acyclic cluster algebras.

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