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arXiv · 2507.06570

Langlands branching rule for type B snake modules

Jingmin Guo·Jian-Rong Li·Keyu Wang
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Abstract

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.

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Jingmin Guo, Jian-Rong Li, Keyu Wang. 2025-07-09. Langlands branching rule for type B snake modules. https://arxiv.org/abs/2507.06570

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