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Enumerating chambers of hyperplane arrangements with symmetry

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 Added by Lukas K\\\"uhne
 Publication date 2021
  fields
and research's language is English




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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.



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