Higher Lie characters and root enumeration in classical Weyl groups
Ron M. Adin, Pál Hegedüs, Yuval Roichman·2023-12-14·via math.CO updates on arXiv.org
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 $B$.