Langlands duality for representations and quantum groups at a root of unity
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,...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1797055433878274048 |
|---|---|
| author | McGerty, K |
| author_facet | McGerty, K |
| author_sort | McGerty, K |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:10:40Z |
| format | Journal article |
| id | oxford-uuid:16a8fb62-aecf-4396-92f0-f18c23e8134d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:10:40Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:16a8fb62-aecf-4396-92f0-f18c23e8134d2022-03-26T10:32:37ZLanglands duality for representations and quantum groups at a root of unityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:16a8fb62-aecf-4396-92f0-f18c23e8134dEnglishSymplectic Elements at Oxford2009McGerty, KWe 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. |
| spellingShingle | McGerty, K Langlands duality for representations and quantum groups at a root of unity |
| title | Langlands duality for representations and quantum groups at a root of
unity |
| title_full | Langlands duality for representations and quantum groups at a root of
unity |
| title_fullStr | Langlands duality for representations and quantum groups at a root of
unity |
| title_full_unstemmed | Langlands duality for representations and quantum groups at a root of
unity |
| title_short | Langlands duality for representations and quantum groups at a root of
unity |
| title_sort | langlands duality for representations and quantum groups at a root of unity |
| work_keys_str_mv | AT mcgertyk langlandsdualityforrepresentationsandquantumgroupsatarootofunity |