标题： 类型AIII的扭曲超杨-米尔斯代数及其表示 显示英文标题

标题： Twisted super Yangians of type AIII and their representations

摘要： 我们研究了Molev-Ragoucy反射代数的超对称类似物，我们称之为AIII型扭曲超杨-巴克斯特代数，并在某些条件下对其有限维不可约表示进行分类。 这些超代数是超杨-巴克斯特代数$\mathscr{Y}(\mathfrak{gl}_{m|n})$的共子代数，并与Cartan分类中的AIII型对称对相关。 我们建立了BC型退化仿射Hecke代数与扭曲超杨-巴克斯特代数之间的Schur-Weyl型对偶性。 显示英文摘要

摘要： We study the super analogue of the Molev-Ragoucy reflection algebras, which we call twisted super Yangians of type AIII, and classify their finite-dimensional irreducible representations under certain conditions. These superalgebras are coideal subalgebras of the super Yangian $\mathscr{Y}(\mathfrak{gl}_{m|n})$ and are associated with symmetric pairs of type AIII in Cartan's classification. We establish the Schur-Weyl type duality between degenerate affine Hecke algebras of type BC and twisted super Yangians.