{"title":"经典韦尔群中的高等列字符和根枚举","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":"{\"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}","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
摘要
我们证明，对于任意整数 k，D 型经典韦尔群中的 k-th 根列举符是一个合适的字符。证明使用的是 B 型的高等李字符。
Higher Lie characters and root enumeration in classical Weyl groups
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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