Crossed pointed categories and their equivariantizations

  title={Crossed pointed categories and their equivariantizations},
  author={D. Venku Naidu},
  journal={Pacific Journal of Mathematics},
  • D. Naidu
  • Published 11 August 2010
  • Mathematics
  • Pacific Journal of Mathematics
We propose the notion of quasi-abelian third cohomology of crossed modules, generalizing Eilenberg and MacLane's abelian cohomology and Ospel's quasi-abelian cohomology, and classify crossed pointed categories in terms of it. We apply the process of equivariantization to the latter to obtain braided fusion categories which may be viewed as generalizations of the categories of modules over twisted Drinfeld doubles of finite groups. As a consequence, we obtain a description of all braided group… 

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