论文标题
c-功能和麦克唐纳多项式
c-functions and Macdonald polynomials
论文作者
论文摘要
这是一篇关于$ C $ functions和MacDonald多项式的论文。 $ c $ - 功能公式为$ e $ - $p_λ$和$ a_ {λ+ρ} $，$p_λ$和$e_μ$的主要专业，用于麦克唐纳的恒定术语公式，以及麦克唐纳德多纳米尔的规范。其中大多数来自麦当劳多项式的创建公式，为麦克唐纳（MacDonald）（2003）的几个结果提供了替代证明。此外，我们证明了MacDonald多项式设置和麦克唐纳多项式的Weyl字符公式中的玻色子效应对应关系。
This is a paper about $c$-functions and Macdonald polynomials. There are $c$-function formulas for $E$-expansions of $P_λ$ and $A_{λ+ρ}$, principal specializations of $P_λ$ and $E_μ$, for Macdonald's constant term formulas, and for the norms of Macdonald polynomials. Most of these follow from the creation formulas for Macdonald polynomials, providing alternative proofs to several results from Macdonald (2003). In addition, we prove the Boson-Fermion correspondence in the Macdonald polynomial setting and the Weyl character formula for Macdonald polynomials.
