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The relative Drinfeld commutant and alpha-induction

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OASW03 - Subfactors, K-theory and conformal field theory

We study relative Drinfeld commutants of a fusion category in another fusion category in terms of half-braidings. We identify half-braidings with minimal central projections of the relative tube algebra and certain sectors related to the Longo-Rehren subfactors. We apply this general machinery to various fusion categories arising from alpha-induction applied to a modular tensor category and compute the relative Drinfeld commutants explicitly.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Christ's College Chapel LT 2 Department of Computer Science and technology, SS03

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