论文标题
量子超对称对和$ \ imath $ schur型aiii的双重性
Quantum supersymmetric pairs and $\imath$Schur duality of type AIII
论文作者
论文摘要
我们构造量子超对称对$（{\ bold u}，{\ bold u}^\ imath）$ type aiii的$，并阐明其基本属性。建立了$ \ imath $ schur二重性，$ \ imath $量子超级组$ {\ bold bold u}^\ imath $和B型在Tensor空间上作用的Hecke Algebra，提供了$ \ imath $ schur aiii型的$ \ imath $ schur duality type aiii型。此外，我们为任意参数构建了一个（准）$ k $ -matrix，这有助于实现Hecke代数在张量空间上的作用。
We construct quantum supersymmetric pairs $({\bold U},{\bold U}^\imath)$ of type AIII and elucidate their fundamental properties. An $\imath$Schur duality between the $\imath$quantum supergroup ${\bold U}^\imath$ and the Hecke algebra of type B acting on a tensor space is established, providing a super generalization of the $\imath$Schur 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.
