Non-cyclotomic fusion categories
Etingof, Nikshych and Ostrik asked if every fusion category can be completely defined over a cyclotomic field. We show that this is not the case: in particular, one of the fusion categories coming from the Haagerup subfactor and one coming from the newly constructed extended Haagerup subfactor cannot be completely defined over a cyclotomic field. On the other hand, we show that the Drinfel'd center of the even part of the Haagerup subfactor is completely defined over a cyclotomic field. We...[Show more]
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|Source:||Transactions of the American Mathematical Society|
|01_Morrison_Non-Cyclotomic_Fusion_2012.pdf||595.12 kB||Adobe PDF|
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