{"title":"The Birkhoff polytope of the groups F4 and H4","authors":"Mathieu Dutour Sikirić","doi":"10.5592/co/ccd.2022.03","DOIUrl":null,"url":null,"abstract":"We compute the set of facets of the polytope which is the convex hull of the Coxeter groups F 4 or H 4 : • For the group F 4 we found 2 orbits of facets which contradicts previous results published in [19]. • For the group H 4 we found 1063 orbits of facets which provides a coun-terexample to the conjecture of [19].","PeriodicalId":306191,"journal":{"name":"Proceedings of the 4th Croatian Combinatorial Days","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 4th Croatian Combinatorial Days","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5592/co/ccd.2022.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We compute the set of facets of the polytope which is the convex hull of the Coxeter groups F 4 or H 4 : • For the group F 4 we found 2 orbits of facets which contradicts previous results published in [19]. • For the group H 4 we found 1063 orbits of facets which provides a coun-terexample to the conjecture of [19].
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
