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On Braided and Ribbon Unitary Fusion Categories

  Published:2013-07-22
 Printed: Sep 2014
  • César Galindo,
    Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia
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Abstract

We prove that every braiding over a unitary fusion category is unitary and every unitary braided fusion category admits a unique unitary ribbon structure.
Keywords: fusion categories, braided categories, modular categories fusion categories, braided categories, modular categories
MSC Classifications: 20F36, 16W30, 18D10 show english descriptions Braid groups; Artin groups
Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act
Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
20F36 - Braid groups; Artin groups
16W30 - Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act
18D10 - Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]
 

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