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arXiv · 2507.11340

Absolute order and involutions

Thomas Gobet
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Abstract

We study the restriction of the absolute order on a Coxeter group $W$ to an interval $[1,w]_T$, where $w\in W$ is an involution. We characterize and classify those involutions $w$ for which $[1,w]_T$ is a lattice, using the notion of involutive parabolic subgroups.

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Thomas Gobet. 2025-07-15. Absolute order and involutions. https://doi.org/10.1017/s0004972725100531

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