Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Flatness of alpha-induced bi-unitary connections and commutativity of Frobenius algebras
Alpha-induction is a tensor functor arising from a Frobenius algebra on a braided fusion category to a new fusion category using braiding. A bi-unitary connection consists of partial data of generalized quantum 6j-symbols and describes a commuting square in subfactor theory. A finite family of bi-unitary connections gives operator-algebraic description of a fusion category. Last year, I showed that if we have a commutative Frobenius algebra, then the resulting bi-unitary connection from alpha-induction is flat, which means that quantum 6j-symbols are in a certain canonical form. I now show that the converse of this statement also holds.
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