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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.06570 |
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| _version_ | 1866917229377880064 |
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| author | Guo, Jingmin Li, Jian-Rong Wang, Keyu |
| author_facet | Guo, Jingmin Li, Jian-Rong Wang, Keyu |
| contents | We prove that each snake module of the quantum Kac-Moody algebra of type $B_n^{(1)}$ admits a Langlands dual representation, as conjectured by Frenkel and Hernandez (Lett. Math. Phys. (2011) 96:217-261). Furthermore, we establish an explicit formula, called the Langlands branching rule, which gives the multiplicities in the decomposition of the character of a snake module of the quantum Kac-Moody algebra of type $B_n^{(1)}$ into a sum of characters of irreducible representations of its Langlands dual algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Langlands branching rule for type B snake modules Guo, Jingmin Li, Jian-Rong Wang, Keyu Representation Theory 17B37 We prove that each snake module of the quantum Kac-Moody algebra of type $B_n^{(1)}$ admits a Langlands dual representation, as conjectured by Frenkel and Hernandez (Lett. Math. Phys. (2011) 96:217-261). Furthermore, we establish an explicit formula, called the Langlands branching rule, which gives the multiplicities in the decomposition of the character of a snake module of the quantum Kac-Moody algebra of type $B_n^{(1)}$ into a sum of characters of irreducible representations of its Langlands dual algebra. |
| title | Langlands branching rule for type B snake modules |
| topic | Representation Theory 17B37 |
| url | https://arxiv.org/abs/2507.06570 |