Disarray, reduced words, and 321-avoidance in George groups
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909164063686656 |
|---|---|
| author | Lewis, Joel Brewster Tenner, Bridget Eileen |
| author_facet | Lewis, Joel Brewster Tenner, Bridget Eileen |
| contents | Previous work has shown that the disarray (or displacement) of an (affine) (signed) permutation is bounded in terms of its Coxeter length. Here, we characterize the permutations for which the bound is sharp in two ways: in terms of a natural property of their reduced words, and by ``globally'' avoiding the pattern 321. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Disarray, reduced words, and 321-avoidance in George groups Lewis, Joel Brewster Tenner, Bridget Eileen Combinatorics Previous work has shown that the disarray (or displacement) of an (affine) (signed) permutation is bounded in terms of its Coxeter length. Here, we characterize the permutations for which the bound is sharp in two ways: in terms of a natural property of their reduced words, and by ``globally'' avoiding the pattern 321. |
| title | Disarray, reduced words, and 321-avoidance in George groups |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2404.06379 |