{"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":14888,"journal":{"name":"Journal of Algebra","volume":"664 ","pages":"Pages 26-72"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324005556","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/10/22 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","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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The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
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