Gale-Robinson quivers: from representations to combinatorial formulas
arXiv:1710.09765
Abstract
We investigate a family of representations of Gale-Robinson quivers that are geared towards providing concrete information about the corresponding cluster algebras. In this way, we provide a representation theoretic explanation for known combinatorial formulas for the Gale-Robinson sequence and also obtain similar formulas for several other cluster variables.
27 pages, 6 figures