The braided monoidal structure of tube algebra representations
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917073669586944 |
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| author | Jaklitsch, David Yamashita, Makoto |
| author_facet | Jaklitsch, David Yamashita, Makoto |
| contents | We consider the tube algebra of a spherical semisimple multitensor category $\mathcal{X}$, and construct a braided monoidal structure with twist for its representations. We further show that this category is braided tensor equivalent with the Drinfeld center of the ind-category of $\mathcal{X}$, extending the well-known linear equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The braided monoidal structure of tube algebra representations Jaklitsch, David Yamashita, Makoto Quantum Algebra We consider the tube algebra of a spherical semisimple multitensor category $\mathcal{X}$, and construct a braided monoidal structure with twist for its representations. We further show that this category is braided tensor equivalent with the Drinfeld center of the ind-category of $\mathcal{X}$, extending the well-known linear equivalence. |
| title | The braided monoidal structure of tube algebra representations |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2511.08482 |