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- W4306704709 abstract "We develop a geometric approach toward an interplay between a pair of quantum Schur algebras of arbitrary finite type. Then by Beilinson-Lusztig-MacPherson's stabilization procedure in the setting of partial flag varieties of type A (resp. type B/C), the Howe duality between a pair of quantum general linear groups (resp. a pair of ıquantum groups of type AIII/IV) is established. The Howe duality for quantum general linear groups has been provided via quantum coordinate algebras in [33]. We also generalize this algebraic approach to ıquantum groups of type AIII/IV, and prove that the quantum Howe duality derived from partial flag varieties coincides with the one constructed by quantum coordinate (co)algebras. Moreover, the explicit multiplicity-free decompositions for these Howe dualities are obtained." @default.
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- W4306704709 date "2022-12-01" @default.
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- W4306704709 title "Geometric Howe dualities of finite type" @default.
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- W4306704709 doi "https://doi.org/10.1016/j.aim.2022.108751" @default.
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