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arXiv · 2404.05594

Geometric Approach to Mirabolic Schur-Weyl Duality of Type A

Zhaobing Fan·Zhicheng Zhang·Haitao Ma
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Abstract

We commence by constructing the mirabolic quantum Schur algebra, utilizing the convolution algebra defined on the variety of triples of two $n$-step partial flags and a vector. Subsequently, we employ a stabilization procedure to derive the mirabolic quantum $\mathfrak{gl}_n$. Then we present the geometric approach of the mirabolic Schur-Weyl duality of type $A$.

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Zhaobing Fan, Zhicheng Zhang, Haitao Ma. 2024-04-08. Geometric Approach to Mirabolic Schur-Weyl Duality of Type A. https://arxiv.org/abs/2404.05594

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