2 papers
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.RT2024
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…