Galois Theory for Braided Tensor Categories and the Modular Closure

  title={Galois Theory for Braided Tensor Categories and the Modular Closure},
  author={Michael Mueger},
  journal={Advances in Mathematics},
  • Michael Mueger
  • Published 7 December 1998
  • Mathematics
  • Advances in Mathematics
Abstract Given a braided tensor *-category C with conjugate (dual) objects and irreducible unit together with a full symmetric subcategory S we define a crossed product C ⋊ S . This construction yields a tensor *-category with conjugates and an irreducible unit. (A *-category is a category enriched over Vect C with positive *-operation.) A Galois correspondence is established between intermediate categories sitting between C and C ⋊ S and closed subgroups of the Galois group Gal( C ⋊ S / C… 

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