Geodesic
Symplectic Level-Rank Duality via Tensor Categories
Victor Ostrik1, 2 ; Eric C. Rowell3 ; Michael Sun4
1Dept. of Mathematics, University of Oregon, Eugene, OR 97403-1222, U.S.A.;
2Laboratory of Algebraic Geometry, National Research University, Higher School of Economics, Moscow, Russia
3Dept. of Mathematics, Texas & University, College Station, TX 77843-3368, U.S.A.
4no affiliation
Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 909-924

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Victor Ostrik  1 , 2   ; Eric C. Rowell  3   ; Michael Sun  4

1 Dept. of Mathematics, University of Oregon, Eugene, OR 97403-1222, U.S.A.;
2 Laboratory of Algebraic Geometry, National Research University, Higher School of Economics, Moscow, Russia
3 Dept. of Mathematics, Texas & University, College Station, TX 77843-3368, U.S.A.
4 no affiliation 
Victor Ostrik; Eric C. Rowell; Michael 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/JOLT_2020_30_4_a0/
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     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/JOLT_2020_30_4_a0/}
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