- We give a representation-theoretic interpretation of the Langlands character duality of Frenkel and Hernandez, 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.
- Publication status:
- Publisher copy:
- Copyright date:
- Final version
Langlands duality for representations and quantum groups at a root of unity
If you are the owner of this record, you can report an update to it here: Report update to this record