Fusion categories of rank 2
نویسندگان
چکیده
منابع مشابه
2 2 A ug 2 01 7 MORITA EQUIVALENCE OF POINTED FUSION CATEGORIES OF SMALL RANK
We classify pointed fusion categories C(G,ω) up to Morita equivalence for 1 < |G| < 32. Among them, the cases |G| = 2, 2 and 3 are emphasized. Although the equivalence classes of such categories are not distinguished by their FrobeniusSchur indicators, their categorical Morita equivalence classes are distinguished by the set of the indicators and ribbon twists of their Drinfeld centers. In part...
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Etingof, Nikshych and Ostrik ask in [8, §2] 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 [2] and one coming from the newly constructed extended Haagerup subfactor [3] can not be completely defined over a cyclotomic field. On the other hand, we show that...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2003
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2003.v10.n2.a5