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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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Adin, Ron M, Hegedüs, Pál, Roichman, Yuval
Format: Article
Language:English
Subjects:
Enumeration
Online Access:Get full text
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Summary: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 \(B\).
ISSN:2331-8422