location:  Publications → journals → CMB
Abstract view

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
 Format: LaTeX MathJax PDF

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
 MSC Classifications: 20F36 - Braid groups; Artin groups 16W30 - Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act18D10 - Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23]