
Journal of Lie Theory 30 (2020), No. 4, 909924 Copyright Heldermann Verlag 2020 Symplectic LevelRank Duality via Tensor Categories Victor Ostrik Dept. of Mathematics, University of Oregon, Eugene, OR 974031222, U.S.A.; and: Laboratory of Algebraic Geometry, National Research University, Higher School of Economics, Moscow, Russia vostrik@uoregon.edu Eric C. Rowell Dept. of Mathematics, Texas & University, College Station, TX 778433368, U.S.A. rowell@math.tamu.edu Michael Sun no affiliation michaelysun@outlook.com We give two proofs of a levelrank 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 nonunitary braided fusion categories quantum groups of types B and C at odd roots of unity. Keywords: Braided fusion category, affine Lie algebra, levelrank duality. MSC: 18D10,17B67. [ Fulltextpdf (156 KB)] for subscribers only. 