The 2-Deligne Tensor Product
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909061761466368 |
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| author | Décoppet, Thibault D. |
| author_facet | Décoppet, Thibault D. |
| contents | We prove that the 2-Deligne tensor product of two compact semisimple 2-categories exists. Further, under suitable hypotheses, we explain how to describe the $Hom$-categories, connected components, and simple objects of a 2-Deligne tensor product. Finally, we prove that the 2-Deligne tensor product of two compact semisimple tensor 2-categories is a compact semisimple tensor 2-category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_16880 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The 2-Deligne Tensor Product Décoppet, Thibault D. Quantum Algebra 18M20, 18N25 (Primary), 18M05, 18N10 (Secondary) We prove that the 2-Deligne tensor product of two compact semisimple 2-categories exists. Further, under suitable hypotheses, we explain how to describe the $Hom$-categories, connected components, and simple objects of a 2-Deligne tensor product. Finally, we prove that the 2-Deligne tensor product of two compact semisimple tensor 2-categories is a compact semisimple tensor 2-category. |
| title | The 2-Deligne Tensor Product |
| topic | Quantum Algebra 18M20, 18N25 (Primary), 18M05, 18N10 (Secondary) |
| url | https://arxiv.org/abs/2103.16880 |