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

SIGMA 12 (2016), 067, 9 pages      arXiv:1604.06286      https://doi.org/10.3842/SIGMA.2016.067

Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients

Salvatore Stella a and Pavel Tumarkin b
a) IN$d$AM - Marie Curie Actions fellow, Università ''La Sapienza'', Roma, Italy
b) Department of Mathematical Sciences, Durham University, UK

Received April 22, 2016, in final form July 06, 2016; Published online July 09, 2016

Abstract
We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.

Key words: cluster algebras; exchange relations.

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