English

Dominance Regions for Rank Two Cluster Algebras

Combinatorics 2022-11-10 v2 Commutative Algebra Representation Theory

Abstract

We study the polygons defining the dominance order on g\mathbf{g}-vectors in cluster algebras of rank 2.

Keywords

Cite

@article{arxiv.2206.04778,
  title  = {Dominance Regions for Rank Two Cluster Algebras},
  author = {Dylan Rupel and Salvatore Stella},
  journal= {arXiv preprint arXiv:2206.04778},
  year   = {2022}
}

Comments

14 pages, 3 figures. v2: added missing reference, clarified statement of theorem 1.2, minor cosmetic changes to figures; v1: initial version