Abstract
In this chapter, we show that under rather mild hypothesis, the center of a rigid category is the category of modules over a quasitriangular Hopf monad. This allows us to compute the coend of the center of a pivotal fusion category. As an application, we prove Theorems 5.3–5.5. This chapter is based on [BV2, BV3].
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Turaev, V., Virelizier, A. (2017). Monadicity of the center. In: Monoidal Categories and Topological Field Theory . Progress in Mathematics, vol 322. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-49834-8_9
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DOI: https://doi.org/10.1007/978-3-319-49834-8_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-49833-1
Online ISBN: 978-3-319-49834-8
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