# Galois Theory for Braided Tensor Categories and the Modular Closure

@article{Mueger1998GaloisTF, title={Galois Theory for Braided Tensor Categories and the Modular Closure}, author={Michael Mueger}, journal={Advances in Mathematics}, year={1998}, volume={150}, pages={151-201} }

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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