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In 1990, Beilinson-Lusztig-MacPherson (BLM) discovered a realization \cite[5.7]{BLM} for quantum $\frak{gl}_n$ via a geometric setting of quantum Schur algebras.
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J. Xiao, Drinfeld double and Ringel–Green theory of Hall algebras
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J. Du and Q. Fu, A modified BLM approach to quantum affine 𝔤 𝔩 n \mathfrak{gl}_{n}
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