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The relative Drinfeld commutant and alpha-induction

Presented by: 
Yasu Kawahigashi University of Tokyo
Monday 12th June 2017 - 13:30 to 14:30
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons