3 citations · 5 across the 8 of their papers we have counts for
8 papers
The Knot Invariant Associated to Two-Parameter Quantum Algebras II
Zhaobing Fan, Tianhao Zhu
Fan, Ma, and Xing constructed oriented-tangle invariants from finite-type two-parameter quantum algebras. In this paper, we construct an explicit parameter-transport comparison bet…
Geometric Approach to Mirabolic Schur-Weyl Duality of Type A
Zhaobing Fan, Zhicheng Zhang, Haitao Ma
We commence by constructing the mirabolic quantum Schur algebra, utilizing the convolution algebra defined on the variety of triples of two -step partial flags and a vector. Sub…
A new Young wall realization of and
Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1
Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal for the quantum affine algebras of types , $D^…
Affine flag varieties of type D
Quanyong Chen, Zhaobing Fan, Qi Wang
The Hecke algebras and quantum group of affine type A admit geometric realizations in terms of complete flags and partial flags over a local field, respectively. Subsequently, it i…
Geometric Approach to I-Quantum Group of Affine Type D
Quanyong Chen, Zhaobing Fan
In this paper, we study the structures of Schur algebra and Lusztig algebra associated to partial flag varieties of affine type D. We show that there is a subalgebra of Lusztig alg…
Highest weight modules over Borcherds-Bozec superalgebras and their character formula
Zhaobing Fan, Jiaqi Huang, Seok-Jin Kang +1
We present and prove the Weyl-Kac type character formula for the irreducible highest weight modules over Borcherds-Bozec superalgebras with dominant integral highest weights.