Abstract

We construct quantum supersymmetric pairs (U,Uı) of type AIII and elucidate their fundamental properties. An ıSchur duality between the ıquantum supergroup Uı and the Hecke algebra of type B acting on a tensor space is established, providing a super generalization of the ıSchur duality of type AIII. Additionally, we construct a (quasi) K-matrix for arbitrary parameters, which facilitates the realization of the Hecke algebra action on the tensor space.

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