Lattices of acyclic pipe dreams
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916926129700864 |
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| author | Bergeron, Nantel Cartier, Noémie Ceballos, Cesar Pilaud, Vincent |
| author_facet | Bergeron, Nantel Cartier, Noémie Ceballos, Cesar Pilaud, Vincent |
| contents | We show that for any permutation $ω$, the increasing flip graph on acyclic pipe dreams with exiting permutation $ω$ is a lattice quotient of the interval $[e,ω]$ of the weak order. We then discuss conjectural generalizations of this result to acyclic facets of subword complexes on arbitrary finite Coxeter groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11025 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lattices of acyclic pipe dreams Bergeron, Nantel Cartier, Noémie Ceballos, Cesar Pilaud, Vincent Combinatorics 06A07, 06B10, 20F55 We show that for any permutation $ω$, the increasing flip graph on acyclic pipe dreams with exiting permutation $ω$ is a lattice quotient of the interval $[e,ω]$ of the weak order. We then discuss conjectural generalizations of this result to acyclic facets of subword complexes on arbitrary finite Coxeter groups. |
| title | Lattices of acyclic pipe dreams |
| topic | Combinatorics 06A07, 06B10, 20F55 |
| url | https://arxiv.org/abs/2303.11025 |