Constructing mirabolic quantum algebra using convolution leads to insights in geometric duality.
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. Subsequently, we employ a stabilization procedure to derive the mirabolic quantum . Then we present the geometric approach of the mirabolic Schur–Weyl duality of type .
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Fan et al. (2025) studied this question.
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