Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
{"title":"B 类和 C 类更高的布鲁哈特阶数","authors":"Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy","doi":"10.1007/s10801-024-01334-x","DOIUrl":null,"url":null,"abstract":"<p>We propose versions of higher Bruhat orders for types <i>B</i> and <i>C</i>. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Higher Bruhat orders of types B and C\",\"authors\":\"Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy\",\"doi\":\"10.1007/s10801-024-01334-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We propose versions of higher Bruhat orders for types <i>B</i> and <i>C</i>. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10801-024-01334-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10801-024-01334-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们提出了 B 型和 C 型的高布鲁哈特阶的版本,其基础是 A 型的高布鲁哈特阶理论及其几何解释(归功于马宁-谢赫特曼、沃耶沃茨基-卡普拉诺夫和齐格勒),以及我们对所谓的环状带状对称立方体的研究。
We propose versions of higher Bruhat orders for types B and C. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.