Higher Lie characters and root enumeration in classical Weyl groups
Combinatorics
2024-11-01 v2 Group Theory
Representation Theory
Abstract
We prove that, for any integer , the -th root enumerator in the classical Weyl group of type is a proper character. The proof uses higher Lie characters of type .
Cite
@article{arxiv.2312.08904,
title = {Higher Lie characters and root enumeration in classical Weyl groups},
author = {Ron M. Adin and Pál Hegedüs and Yuval Roichman},
journal= {arXiv preprint arXiv:2312.08904},
year = {2024}
}
Comments
35 pages, minor changes, to appear in J. Algebra