论文标题
$ gl_n的和尚规则$ MACDONALD多项式
Monk rules for type $GL_n$ Macdonald polynomials
论文作者
论文摘要
在本文中，我们给出了麦克唐纳多项式的和尚规则，这些规则类似于舒伯特多项式的和尚规则。这些公式类似于Baratta（2008）给出的公式，但是我们的推导方法是使用Cherednik的Interwiners。通过这项技术得出和尚规则解决了Baratta的工作与YIP产品公式（2010年）之间的关系。和尚公式在$ q = 0 $和/或$ t = 0 $的专业人士为iWahori-Spherical多项式以及有限和仿射密钥多项式提供的和尚规则。
In this paper we give Monk rules for Macdonald polynomials which are analogous to the Monk rules for Schubert polynomials. These formulas are similar to the formulas given by Baratta (2008), but our method of derivation is to use Cherednik's interwiners. Deriving Monk rules by this technique addresses the relationship between the work of Baratta and the product formulas of Yip (2010). Specializations of the Monk formula's at $q=0$ and/or $t=0$ provide Monk rules for Iwahori-spherical polynomials and for finite and affine key polynomials.
