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math.QA2024
On the center of two-parameter (v,t)-quantum groups
Zhaobing Fan, Ziqi Xin
This paper mainly considers the center of two-parameter quantum group U_{v,t} of finite type via an analogue of the Harish-Chandra homomorphism. Through combining the connection be…
math.QA2024
Mirabolic Howe duality
Zhaobing Fan, Haitao Ma, Zhicheng Zhang
We establish a duality between a pair of mirabolic quantum groups, i.e., the mirabolic counterpart of quantum Howe duality.
math.QA2022
The knot invariant associated to two-parameter quantum algebras
Zhaobing Fan, Junjing Xing
Using the skew-Hopf pairing, we obtain -matrix for the two-parameter quantum algebra . We further construct a strict monoidal functor from the t…