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Enumerating chambers of hyperplane arrangements with symmetry
Taylor Brysiewicz, Holger Eble and Lukas KühneAbstract
We introduce a new algorithm for enumerating chambers 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.
- Received:
- 01.06.21
- Published:
- 04.06.21
- MSC Codes:
- 52C35, 52B15
- Keywords:
- hyperplane arrangement, Chambers, Symmetry reduction