论文标题
knizhnik - deNerate Double Aggine Hecke代数的Zamolodchikov函子：代数理论
Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory
论文作者
论文摘要
在本文中，我们为退化双仿射Hecke代数（又称三角cherednik代数）的Knizhnik-Zamolodchikov函数定义了代数版本。我们将其与varagnolo-vasserot构建的Kz单肌功能子进行了比较。我们证明了我们的函子的双中心属性属性，并给出其内核的特征。我们为一个称为Quiver Double Hecke代数的代数家族建立了这些结果，该代数包括堕落的双仿射Hecke代数作为特殊情况。
In this article, we define an algebraic version of the Knizhnik--Zamolodchikov functor for the degenerate double affine Hecke algebras (a.k.a. trigonometric Cherednik algebras). We compare it with the KZ monodromy functor constructed by Varagnolo--Vasserot. We prove the double centraliser property for our functor and give a characterisation of its kernel. We establish these results for a family of algebras, called quiver double Hecke algebras, which includes the degenerate double affine Hecke algebras as special cases.
