{"title":"Faces of polyhedra associated with relation modules","authors":"Germán Benitez, Luis Enrique Ram'irez","doi":"10.4310/arkiv.2022.v60.n2.a3","DOIUrl":null,"url":null,"abstract":"Relation Gelfand–Tsetlin gln-modules were introduced in [FRZ19], and are determined by some special directed graphs and Gelfand-Tsetlin characters. In this work we constructed polyhedra associated with the class of relation modules, which includes as a particular case, any classical Gelfand– Tsetlin polytope. Following the ideas presented in [LM04] we give a characterization of d-faces of the associated polyhedra in terms of a matrix related to the corresponding graph.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2021-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arkiv for Matematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/arkiv.2022.v60.n2.a3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Relation Gelfand–Tsetlin gln-modules were introduced in [FRZ19], and are determined by some special directed graphs and Gelfand-Tsetlin characters. In this work we constructed polyhedra associated with the class of relation modules, which includes as a particular case, any classical Gelfand– Tsetlin polytope. Following the ideas presented in [LM04] we give a characterization of d-faces of the associated polyhedra in terms of a matrix related to the corresponding graph.
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