On rank one 2-representations of web categories
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910101165572096 |
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| author | Tubbenhauer, Daniel |
| author_facet | Tubbenhauer, Daniel |
| contents | We classify rank one 2-representations of SL2, GL2 and SO3 web categories. The classification is inspired by similar results about quantum groups, given by reducing the problem to the classification of bilinear and trilinear forms, and is formulated such that it can be adapted to other web categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00785 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On rank one 2-representations of web categories Tubbenhauer, Daniel Representation Theory Category Theory Quantum Algebra Primary: 18M05, 18M30, Secondary: 22E46, 22E47 We classify rank one 2-representations of SL2, GL2 and SO3 web categories. The classification is inspired by similar results about quantum groups, given by reducing the problem to the classification of bilinear and trilinear forms, and is formulated such that it can be adapted to other web categories. |
| title | On rank one 2-representations of web categories |
| topic | Representation Theory Category Theory Quantum Algebra Primary: 18M05, 18M30, Secondary: 22E46, 22E47 |
| url | https://arxiv.org/abs/2307.00785 |