The Drinfeld centre of a symmetric fusion category is 2-fold monoidal
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- The Drinfeld Centre of a Symmetric Fusion
Submitted manuscript, 469 KB, PDF document
We show that the Drinfeld centre of a symmetric fusion category over an algebraically closed field of characteristic zero is a bilax 2-fold monoidal category. That is, it carries two monoidal structures, the convolution and symmetric tensor products, that are bilax monoidal functors with respect to each other. We additionally show that the braiding and symmetry for the convolution and symmetric tensor products are compatible with this bilax structure. We establish these properties without referring to Tannaka duality for the symmetric fusion category. This has the advantage that all constructions are done purely in terms of the fusion category structure, making the result easy to use in other contexts.
Original language | English |
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Article number | 107090 |
Journal | Advances in Mathematics |
Volume | 366 |
Number of pages | 27 |
ISSN | 0001-8708 |
DOIs | |
Publication status | Published - 2020 |
- 2-Fold monoidal, Category theory, Drinfeld centre, Fusion category
Research areas
ID: 260679381