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arXiv · 2506.19432

The QuiverTools package for SageMath and Julia

Pieter Belmans·Hans Franzen·Gianni Petrella
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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.

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Pieter Belmans, Hans Franzen, Gianni Petrella. 2025-06-24. The QuiverTools package for SageMath and Julia. https://doi.org/10.2140/jsag.2026.16.31

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