{"title":"The unique coclique extension property for apartments of buildings","authors":"Andries E. Brouwer, Jan Draisma, Çiçek Güven","doi":"10.2140/iig.2023.20.209","DOIUrl":null,"url":null,"abstract":"We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.","PeriodicalId":36589,"journal":{"name":"Innovations in Incidence Geometry","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Innovations in Incidence Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/iig.2023.20.209","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.
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