Geodesic
Symplectic Level-Rank Duality via Tensor Categories
Journal of Lie theory, Tome 30 (2020) no. 4, pp. 909-924
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We give two proofs of a level-rank duality for braided fusion categories obtained from quantum groups of type C at roots of unity. The first proof uses conformal embeddings, while the second uses a classification of braided fusion categories associated with quantum groups of type C at roots of unity. In addition we give a similar result for non-unitary braided fusion categories quantum groups of types B and C at odd roots of unity.
Classification : 18D10,17B67
Mots-clés : Braided fusion category, affine Lie algebra, level-rank duality 
@article{JLT_2020_30_4_JLT_2020_30_4_a0,
     author = {V. Ostrik and E. C. Rowell and M. Sun},
     title = {Symplectic {Level-Rank} {Duality} via {Tensor} {Categories}},
     journal = {Journal of Lie theory},
     pages = {909--924},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a0/}
}
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V. Ostrik; E. C. Rowell; M. Sun. Symplectic Level-Rank Duality via Tensor Categories. Journal of Lie theory, Tome 30 (2020) no. 4, pp. 909-924. http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a0/