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A Finiteness Property for Braided Fusion Categories

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Abstract

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 property 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.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Deepak Naidu & Eric C. Rowell

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  1. Deepak Naidu
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  2. Eric C. Rowell
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Corresponding author

Correspondence to Deepak Naidu.

Additional information

The second author is partially supported by NSA grant H98230-08-1-0020. We thank Dmitri Nikshych, Victor Ostrik and Michael Larsen for useful discussions.

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Naidu, D., Rowell, E.C. A Finiteness Property for Braided Fusion Categories. Algebr Represent Theor 14, 837–855 (2011). https://doi.org/10.1007/s10468-010-9219-5

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  • DOI: https://doi.org/10.1007/s10468-010-9219-5

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