Computing characteristic polynomials of hyperplane arrangements with symmetries
Brysiewicz T, Eble H, Kühne L (2023)
Discrete and Computational Geometry 70: 1356–1377.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Brysiewicz, Taylor;
Eble, Holger;
Kühne, LukasUniBi
Einrichtung
Abstract / Bemerkung
We introduce a new algorithm computing the characteristic polynomials of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its characteristic polynomial. We showcase our julia implementation, based on OSCAR, on examples coming from hyperplane arrangements with applications to physics and computer science.
Stichworte
Hyperplane arrangement;
Chambers;
Algorithm;
Symmetry;
Resonance arrangement;
Separabilit
Erscheinungsjahr
2023
Zeitschriftentitel
Discrete and Computational Geometry
Band
70
Seite(n)
1356–1377
Urheberrecht / Lizenzen
eISSN
1432-0444
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2982920
Zitieren
Brysiewicz T, Eble H, Kühne L. Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry. 2023;70:1356–1377.
Brysiewicz, T., Eble, H., & Kühne, L. (2023). Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry, 70, 1356–1377. https://doi.org/10.1007/s00454-023-00557-2
Brysiewicz, Taylor, Eble, Holger, and Kühne, Lukas. 2023. “Computing characteristic polynomials of hyperplane arrangements with symmetries”. Discrete and Computational Geometry 70: 1356–1377.
Brysiewicz, T., Eble, H., and Kühne, L. (2023). Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry 70, 1356–1377.
Brysiewicz, T., Eble, H., & Kühne, L., 2023. Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry, 70, p 1356–1377.
T. Brysiewicz, H. Eble, and L. Kühne, “Computing characteristic polynomials of hyperplane arrangements with symmetries”, Discrete and Computational Geometry, vol. 70, 2023, pp. 1356–1377.
Brysiewicz, T., Eble, H., Kühne, L.: Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry. 70, 1356–1377 (2023).
Brysiewicz, Taylor, Eble, Holger, and Kühne, Lukas. “Computing characteristic polynomials of hyperplane arrangements with symmetries”. Discrete and Computational Geometry 70 (2023): 1356–1377.
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