Reconstruction of tensor categories of type $G_2$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917270514565120 |
|---|---|
| author | Martirosyan, Lilit Wenzl, Hans |
| author_facet | Martirosyan, Lilit Wenzl, Hans |
| contents | We prove that any non-symmetric ribbon tensor category $\mathcal{C}$ with the fusion rules of the compact group of type $G_2$ needs to be equivalent to the representation category of the corresponding Drinfeld-Jimbo quantum group for $q$ not a root of unity. We also prove an analogous result for the corresponding finite fusion tensor categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstruction of tensor categories of type $G_2$ Martirosyan, Lilit Wenzl, Hans Quantum Algebra Category Theory Representation Theory We prove that any non-symmetric ribbon tensor category $\mathcal{C}$ with the fusion rules of the compact group of type $G_2$ needs to be equivalent to the representation category of the corresponding Drinfeld-Jimbo quantum group for $q$ not a root of unity. We also prove an analogous result for the corresponding finite fusion tensor categories. |
| title | Reconstruction of tensor categories of type $G_2$ |
| topic | Quantum Algebra Category Theory Representation Theory |
| url | https://arxiv.org/abs/2510.09922 |