arXiv:1710.09765 [math.CO]AbstractReferencesReviewsResources
Gale-Robinson quivers: from representations to combinatorial formulas
Published 2017-10-26Version 1
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.
Comments: 27 pages, 6 figures
Related articles: Most relevant | Search more
A Combinatorial Formula for Rank 2 Cluster Variables
arXiv:1601.00052 [math.CO] (Published 2016-01-01)
Combinatorial Formulas for Certain Sequences of Multiple Numbers
arXiv:2410.14554 [math.CO] (Published 2024-10-18)
A determinantal formula for cluster variables in cluster algebras from surfaces