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Langlands duality for representations and quantum groups at a root of unity

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.
Publication status:
Published

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Publisher copy:
10.1007/s00220-010-0993-z

Authors


McGerty, K More by this author
Journal:
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume:
296
Issue:
1
Pages:
89-109
Publication date:
2009-02-09
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
URN:
uuid:16a8fb62-aecf-4396-92f0-f18c23e8134d
Source identifiers:
194797
Local pid:
pubs:194797
Language:
English
Keywords:

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