Dual involutions in finite Coxeter groups
Group Theory
2022-02-10 v1
Abstract
There is a well-known classification of conjugacy classes of involutions in finite Coxeter groups, in terms of subsets of nodes of their Coxeter graphs. In many cases, the product of an involution with the longest element is again an involution. We identify the conjugacy class of this product involution in terms of said classification.
Cite
@article{arxiv.2202.04463,
title = {Dual involutions in finite Coxeter groups},
author = {Marcus Zibrowius},
journal= {arXiv preprint arXiv:2202.04463},
year = {2022}
}