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A reduced tensor product of braided fusion categories over a symmetric fusion category

Abstract:

The main goal of this thesis is to construct a tensor product on the 2-category BFC-A of braided fusion categories containing a symmetric fusion category A. We achieve this by introducing the new notion of Z(A)-crossed braided categories. These are categories enriched over the Drinfeld centre Z(A) of the symmetric fusion category. We show that Z(A) admits an additional symmetric tensor structure, which makes it into a 2-fold monoidal category. ByTannaka duality, A= Rep(G) (or Rep(G; w)) f...

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Division:
MPLS
Department:
Mathematical Institute
Department:
University of Oxford
Role:
Author

Contributors

Department:
University of Oxford
Role:
Supervisor
Department:
University of Oxford
Role:
Examiner
Department:
Radboud Universiteit Nijmegen
Role:
Examiner
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:58c6aae3-cb0e-4381-821f-f7291ff95657
Deposit date:
2018-06-14

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