English

Gale-Robinson quivers: from representations to combinatorial formulas

Combinatorics 2017-10-27 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1710.09765,
  title  = {Gale-Robinson quivers: from representations to combinatorial formulas},
  author = {Max Glick and Jerzy Weyman},
  journal= {arXiv preprint arXiv:1710.09765},
  year   = {2017}
}

Comments

27 pages, 6 figures

R2 v1 2026-06-22T22:26:45.637Z