Absolute order and involutions
Group Theory
2026-01-14 v1 Combinatorics
Abstract
We study the restriction of the absolute order on a Coxeter group to an interval , where is an involution. We characterize and classify those involutions for which is a lattice, using the notion of involutive parabolic subgroups.
Cite
@article{arxiv.2507.11340,
title = {Absolute order and involutions},
author = {Thomas Gobet},
journal= {arXiv preprint arXiv:2507.11340},
year = {2026}
}
Comments
9 pages, 1 figure. Comments welcome!