Finite Semisimple Module 2-Categories
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912152497946624 |
|---|---|
| author | Décoppet, Thibault D. |
| author_facet | Décoppet, Thibault D. |
| contents | Let $\mathfrak{C}$ be a multifusion 2-category. We show that every finite semisimple $\mathfrak{C}$-module 2-category is canonically enriched over $\mathfrak{C}$. Using this enrichment, we prove that every finite semisimple $\mathfrak{C}$-module 2-category is equivalent to the 2-category of modules over a rigid algebra in $\mathfrak{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_11037 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Finite Semisimple Module 2-Categories Décoppet, Thibault D. Quantum Algebra Category Theory 16D90, 18M20, 18N10, 18N25 (Primary), 18M30, 18N20 (Secondary) Let $\mathfrak{C}$ be a multifusion 2-category. We show that every finite semisimple $\mathfrak{C}$-module 2-category is canonically enriched over $\mathfrak{C}$. Using this enrichment, we prove that every finite semisimple $\mathfrak{C}$-module 2-category is equivalent to the 2-category of modules over a rigid algebra in $\mathfrak{C}$. |
| title | Finite Semisimple Module 2-Categories |
| topic | Quantum Algebra Category Theory 16D90, 18M20, 18N10, 18N25 (Primary), 18M30, 18N20 (Secondary) |
| url | https://arxiv.org/abs/2107.11037 |