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Non-cyclotomic fusion categories

Morrison, Scott; Snyder, Noah

Description

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]

CollectionsANU Research Publications
Date published: 2012-04-17
Type: Journal article
URI: http://hdl.handle.net/1885/100573
Source: Transactions of the American Mathematical Society
DOI: 10.1090/S0002-9947-2012-05498-5

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