Keyu Wang

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20242026

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math.RT2026

Folding shuffle algebras and twisted $q$ -characters

Andrei Neguţ, Keyu Wang

Using our new notion of folding shuffle algebras, we prove a conjecture of Hernandez on the equality between certain $q$ -characters of quantum untwisted affine algebra modules and…

math.RT2025

Langlands branching rule for type B snake modules

Jingmin Guo, Jian-Rong Li, Keyu Wang

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. Ph…

math.RT2024

Weyl group twists and representations of quantum affine Borel algebras

Keyu Wang

We define categories $O^{w}$ of representations of Borel subalgebras $U_{q} b$ of quantum affine algebras $U_{q} g^$ , which come fr…

Folding shuffle algebras and twisted q-characters

Langlands branching rule for type B snake modules

Weyl group twists and representations of quantum affine Borel algebras

Folding shuffle algebras and twisted $q$ -characters