Higher Lie characters and root enumeration in classical Weyl groups

Ron M. Adin; Pál Hegedüs; Yuval Roichman

doi:10.1016/j.jalgebra.2024.10.013

Higher Lie characters and root enumeration in classical Weyl groups

Ron M. Adin, Pál Hegedüs, Yuval Roichman

Department of Mathematics

Budapest University of Technology and Economics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	26-72
Number of pages	47
Journal	Journal of Algebra
Volume	664
DOIs	https://doi.org/10.1016/j.jalgebra.2024.10.013
State	Published - 15 Feb 2025

Bibliographical note

Publisher Copyright:
© 2024

Keywords

Classical Weyl group
Higher Lie characters
Root enumeration

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10.1016/j.jalgebra.2024.10.013

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title = "Higher Lie characters and root enumeration in classical Weyl groups",

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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AU - Hegedüs, Pál

AU - Roichman, Yuval

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AB - 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.

KW - Classical Weyl group

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KW - Root enumeration

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JO - Journal of Algebra

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Higher Lie characters and root enumeration in classical Weyl groups

Abstract

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Keywords

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