On braided fusion categories I

Academic Article


  • This work is a detailed version of arXiv:0704.0195 [math.QA]. We introduce a new notion of the core of a braided fusion category. It allows to separate the part of a braided fusion category that does not come from finite groups. We also give a comprehensive and self-contained exposition of the known results on braided fusion categories without assuming them pre-modular or non-degenerate. The guiding heuristic principle of our work is an analogy between braided fusion categories and Casimir Lie algebras.
  • Authors

  • Drinfeld, Vladimir
  • Gelaki, Shlomo
  • Nikshych, Dmitri
  • Ostrik, Victor
  • Status

    Publication Date

  • April 2010
  • Has Subject Area

    Published In


  • Braided tensor category
  • Equivariantization
  • Tensor category
  • Digital Object Identifier (doi)

    Start Page

  • 1
  • End Page

  • 119
  • Volume

  • 16
  • Issue

  • 1