{"title":"Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries","authors":"Taylor Brysiewicz, Holger Eble, Lukas Kühne","doi":"10.1007/s00454-023-00557-2","DOIUrl":null,"url":null,"abstract":"Abstract 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 implementation, based on , on examples coming from hyperplane arrangements with applications to physics and computer science.","PeriodicalId":356162,"journal":{"name":"Discrete and Computational Geometry","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete and Computational Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00454-023-00557-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract 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 implementation, based on , on examples coming from hyperplane arrangements with applications to physics and computer science.
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