A finiteness property for braided fusion categories
| Autor: | Naidu, Deepak, Rowell, Eric C. |
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| Rok vydání: | 2009 |
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| Zdroj: | Algebr. and Represent. Theor. 14 (2011), no. 5, 837-855 |
| Druh dokumentu: | Working Paper |
| Popis: | We introduce a finiteness property for braided fusion categories, describe a conjecture that would characterize categories possessing this, and verify the conjecture in a number of important cases. In particular we say a category has F if the associated braid group representations factor over a finite group, and suggest that categories of integral Frobenius-Perron dimension are precisely those with property F. Comment: 21 pages; v3: proof of Theorem 4.2 clarified, Section 5 revised and strengthened; v4: minor revisions |
| Databáze: | arXiv |
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