Geometric Approach to Mirabolic Schur-Weyl Duality of Type A
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 gln. Then we present the geometric approach of the mirabolic Schur-Weyl duality of type A.
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