Salvatore Stella, Pavel Tumarkin, “Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients”, SIGMA, 2016, Volume 12,067, 9 pp.

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

Salvatore Stella^a, Pavel Tumarkin^b

^a INdAM - Marie Curie Actions fellow, Università “La Sapienza”, Roma, Italy
^b Department of Mathematical Sciences, Durham University, UK

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

Keywords: cluster algebras; exchange relations.

MSC: 13F60

Received: April 22, 2016; in final form July 6, 2016; Published online July 9, 2016

Language: English

DOI: 10.3842/SIGMA.2016.067