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math.QA2025
From quantum groups to quantum cluster algebras
Changjian Fu, Haicheng Zhang
We provide a homomorphism of algebras from the quantum group to the corresponding quantum cluster algebra with principal coefficient…
math.QA2025
Analogue of Feigin's map on quantum group of split type
Ming Lu, Shiquan Ruan, Haicheng Zhang
The (universal) quantum groups are as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from universal quantum group o…