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The QuiverTools package for SageMath and Julia
BELMANS, Pieter; Franzen, Hans; PETRELLA, Gianni
2025
 

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Keywords :
Mathematics - Algebraic Geometry; Mathematics - Representation Theory; Mathematics - Geometric Invariant Theory; Mathematics - Computer Algebra Systems
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
BELMANS, Pieter  ;  UU - University of Utrecht
Franzen, Hans
PETRELLA, Gianni  ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Language :
English
Title :
The QuiverTools package for SageMath and Julia
Publication date :
2025
Commentary :
12 pages, all comments welcome
Available on ORBilu :
since 05 January 2026

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