Tube representations and twisting of graded categories
| Autor: | Bhowmick, Jyotishman, Ghosh, Shamindra, Rakshit, Narayan, Yamashita, Makoto |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study deformation of tube algebra under twisting of graded monoidal categories. When a tensor category $\mathcal{C}$ is graded over a group $\Gamma$, a torus-valued 3-cocycle on $\Gamma$ can be used to deform the associator of $\mathcal{C}$. Based on a natural Fell bundle structure of the tube algebra over the action groupoid of the adjoint action of $\Gamma$, we show that the tube algebra of the twisted category is a 2-cocycle twisting of the original one. Comment: v2: expanded remark on Kazhdan-Wenzl categories, other minor changes, 18 pages; v1: 16 pages |
| Databáze: | arXiv |
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