Computing characteristic polynomials of hyperplane arrangements with symmetries
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2021
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909617097801728 |
|---|---|
| author | Brysiewicz, Taylor Eble, Holger Kühne, Lukas |
| author_facet | Brysiewicz, Taylor Eble, Holger Kühne, Lukas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_14542 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Computing characteristic polynomials of hyperplane arrangements with symmetries Brysiewicz, Taylor Eble, Holger Kühne, Lukas Combinatorics 52C35, 52B15 G.2.1 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. |
| title | Computing characteristic polynomials of hyperplane arrangements with symmetries |
| topic | Combinatorics 52C35, 52B15 G.2.1 |
| url | https://arxiv.org/abs/2105.14542 |