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arXiv · 2408.02411

Fusion and specialization for type ADE shuffle algebras

Andrei Neguţ·Alexander Tsymbaliuk
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Abstract

Root vectors in quantum groups (of finite type) generalize to fused currents in quantum loop groups ([5]). In the present paper, we construct fused currents as duals to specialization maps of the corresponding shuffle algebras ([7,8,9]) in types ADE. Both root vectors and fused currents depend on a convex order of the positive roots, and the choice we make in the present paper is that of the Auslander-Reiten order ([24]) corresponding to an orientation of the type ADE Dynkin diagram.

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Andrei Neguţ, Alexander Tsymbaliuk. 2024-08-05. Fusion and specialization for type ADE shuffle algebras. https://doi.org/10.1007/s11253-025-02545-6

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