The coloured mutation class of $\mathbb{A}_n$ quivers
Representation Theory
2023-06-13 v1
Abstract
In this paper we give an explicit and pure combinatorial description of the -coloured quivers that appears in the -coloured mutation class of a quiver of type . The -coloured mutation defined by Buan and Thomas in \cite{BT} generalizes the well-known quiver mutation of Fomin and Zelevinsky \cite{FZ}. In particular, our description generalizes a result of Buan and Vatne, \cite{BV}, which we recover when .
Cite
@article{arxiv.2306.06216,
title = {The coloured mutation class of $\mathbb{A}_n$ quivers},
author = {Viviana Gubitosi and Claudio Qureshi and Rafael Parra},
journal= {arXiv preprint arXiv:2306.06216},
year = {2023}
}