Fusion and specialization for type ADE shuffle algebras

• Date: 2026
• Main Authors: Neguţ, Andrei, Tsymbaliuk, Alexander
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9264
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Root vectors in quantum groups (of finite type) are generalized to fused currents in quantum loop groups [J. Ding, S. Khoroshkin, Transform. Groups, 5, №1, 35–59 (2000)].  We construct fused currents as duals to specialization maps of the corresponding shuffle algebras [B. Enriquez, Transf...