2022/10/03 by Yaolong Shen, Shen, Yaolong · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2210.01233
We construct quantum supersymmetric pairs (\bold U,\bold U^\imath) of type AIII and elucidate their fundamental properties. An \imathSchur duality between the \imathquantum supergroup \bold U^\imath and the Hecke algebra of type B acting on a tensor space is established, providing a super generalization of the \imathSchur 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.