Langlands duality for representations and quantum groups at a root of unity
Quantum Algebra
2015-05-13 v3 Representation Theory
Abstract
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.
Cite
@article{arxiv.0902.1485,
title = {Langlands duality for representations and quantum groups at a root of unity},
author = {Kevin McGerty},
journal= {arXiv preprint arXiv:0902.1485},
year = {2015}
}
Comments
Final version