Journal article
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
- Journal:
- COMMUNICATIONS IN MATHEMATICAL PHYSICS More from this journal
- Volume:
- 296
- Issue:
- 1
- Pages:
- 89-109
- Publication date:
- 2009-02-09
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
- Language:
-
English
- Keywords:
- Pubs id:
-
pubs:194797
- UUID:
-
uuid:16a8fb62-aecf-4396-92f0-f18c23e8134d
- Local pid:
-
pubs:194797
- Source identifiers:
-
194797
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright date:
- 2009
- Notes:
- Final version
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