The QuiverTools package for SageMath and Julia
Algebraic Geometry
2026-05-27 v1 Representation Theory
Abstract
We introduce QuiverTools, a new software package, available in both a SageMath and Julia version, to study quivers and their moduli spaces of representations. Its key features are the computation of general subdimension vectors, leading to canonical decompositions, and checking the existence of (semi)stable representations, as well as the enumeration of Harder-Narasimhan types and related calculations for Teleman quantization. Computations related to intersection theory on quiver moduli are also implemented.
Keywords
Cite
@article{arxiv.2506.19432,
title = {The QuiverTools package for SageMath and Julia},
author = {Pieter Belmans and Hans Franzen and Gianni Petrella},
journal= {arXiv preprint arXiv:2506.19432},
year = {2026}
}
Comments
12 pages, all comments welcome