Absolute order and involutions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918287314518016 |
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| author | Gobet, Thomas |
| author_facet | Gobet, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absolute order and involutions Gobet, Thomas Group Theory Combinatorics 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. |
| title | Absolute order and involutions |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2507.11340 |