The QuiverTools package for SageMath and Julia
Publication date
2026-05-01
Authors
Belmans, Pieter
Franzen, Hans
Petrella, Gianni
Editors
Advisors
Supervisors
Document Type
Article
Metadata
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License
cc_by
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
quiver moduli, Algebra and Number Theory, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Mathematics
Citation
Belmans, P, Franzen, H & Petrella, G 2026, 'The QuiverTools package for SageMath and Julia', Journal of Software for Algebra and Geometry, vol. 16, no. 1, pp. 31-44. https://doi.org/10.2140/jsag.2026.16.31