Langlands Duality for Representations and Quantum Groups at a Root of Unity |
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Authors: | Kevin McGerty |
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Affiliation: | 1. Department of Mathematics, Imperial College London, London, SW7 2AZ, United Kingdom
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Abstract: | We give a representation-theoretic interpretation of the Langlands character duality of [FH], and show that the “Langlands branching multiplicities” for symmetrizable Kac-Moody Lie algebras are equal to certain tensor product multiplicities. For finite type quantum groups, the connection with tensor products can be explained in terms of tilting modules. |
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