Operad of posets 101: The Wixárika posets
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_ | 1866918466805563392 |
|---|---|
| author | Arciniega-Nevárez, José Antonio Berghoff, Marko Dolores-Cuenca, Eric Rubiel |
| author_facet | Arciniega-Nevárez, José Antonio Berghoff, Marko Dolores-Cuenca, Eric Rubiel |
| contents | We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and provides tools for a deeper understanding of their combinatorial structure.
In this note, we present a nontrivial example of a suboperad of the operad of posets, called Wixárika posets, together with its associated algebras. This example is sufficiently rich to exhibit key structural features of the theory, while remaining accessible and avoiding unnecessary technicalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Operad of posets 101: The Wixárika posets Arciniega-Nevárez, José Antonio Berghoff, Marko Dolores-Cuenca, Eric Rubiel Combinatorics 00-01, 18M80, 06A07, 05A15 We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and provides tools for a deeper understanding of their combinatorial structure. In this note, we present a nontrivial example of a suboperad of the operad of posets, called Wixárika posets, together with its associated algebras. This example is sufficiently rich to exhibit key structural features of the theory, while remaining accessible and avoiding unnecessary technicalities. |
| title | Operad of posets 101: The Wixárika posets |
| topic | Combinatorics 00-01, 18M80, 06A07, 05A15 |
| url | https://arxiv.org/abs/2406.07370 |