2009/02/28 by Kevin McGerty · 6 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Branching (polymer chemistry) #Connection (principal bundle) #Duality (order theory) #Langlands dual group #Langlands program #Quantum #Tensor (intrinsic definition) #Tensor product #Tensor product of Hilbert spaces #Tensor product of algebras #math.QA #math.RT
paper · pdf · doi:10.1007/s00220-010-0993-z
published in Communications in Mathematical Physics 296(1), 89-109 (Springer Science+Business Media) · Final version
arxiv created 2009/11/23 · openalex publication_date 2010/02/03 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.