{"title":"Regularity of Unipotent Elements in Total Positivity","authors":"Haiyu Chen, Kaitao Xie","doi":"10.1007/s00031-024-09871-2","DOIUrl":null,"url":null,"abstract":"<p>Let <i>G</i> be a connected reductive group split over <span>\\(\\mathbb R\\)</span>. We show that every unipotent element in the totally nonnegative monoid of <i>G</i> is regular in some Levi subgroups, confirming a conjecture of Lusztig.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-05","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/s00031-024-09871-2","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
Let G be a connected reductive group split over \(\mathbb R\). We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a conjecture of Lusztig.
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