{"title":"Higher Lie characters and root enumeration in classical Weyl groups","authors":"Ron M. Adin , Pál Hegedüs , Yuval Roichman","doi":"10.1016/j.jalgebra.2024.10.013","DOIUrl":null,"url":null,"abstract":"<div><div>We prove that, for any integer <em>k</em>, the <em>k</em>-th root enumerator in the classical Weyl group of type <em>D</em> is a proper character. The proof uses higher Lie characters of type <em>B</em>.</div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324005556","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 prove that, for any integer k, the k-th root enumerator in the classical Weyl group of type D is a proper character. The proof uses higher Lie characters of type B.
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