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

Bar-Ilan University

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

Keywords

Classical Weyl group
Higher Lie characters
Root enumeration

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2024.10.013

Cite this

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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.",

keywords = "Classical Weyl group, Higher Lie characters, Root enumeration",

author = "Adin, {Ron M.} and P{\'a}l Heged{\"u}s and Yuval Roichman",

note = "Publisher Copyright: {\textcopyright} 2024",

year = "2025",

month = feb,

day = "15",

doi = "10.1016/j.jalgebra.2024.10.013",

language = "الإنجليزيّة",

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T1 - Higher Lie characters and root enumeration in classical Weyl groups

AU - Adin, Ron M.

AU - Hegedüs, Pál

AU - Roichman, Yuval

PY - 2025/2/15

Y1 - 2025/2/15

N2 - 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.

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

KW - Higher Lie characters

KW - Root enumeration

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U2 - 10.1016/j.jalgebra.2024.10.013

DO - 10.1016/j.jalgebra.2024.10.013

M3 - مقالة

SN - 0021-8693

VL - 664

SP - 26

EP - 72

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Higher Lie characters and root enumeration in classical Weyl groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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