English

An explicit description of the colored mutation class of $\widetilde{\mathbb{A}}_n$-quivers

Combinatorics 2025-12-24 v1 Representation Theory

Abstract

This paper addresses the combinatorial structure of mm-colored mutation classes. We provide an explicit and purely combinatorial description of the mm-colored quivers that arise within the mm-colored mutation class of a quiver of type A~\mathbb{\widetilde{A}}. Our results generalize and extend existing work, specifically recovering a description by Bastian [1] when the case m=1m=1 is considered.

Keywords

Cite

@article{arxiv.2512.20450,
  title  = {An explicit description of the colored mutation class of $\widetilde{\mathbb{A}}_n$-quivers},
  author = {Viviana Gubitosi and Pablo Rosero},
  journal= {arXiv preprint arXiv:2512.20450},
  year   = {2025}
}