Bijective proofs of some coinversion identities related to Macdonald polynomials
Bijective proofs of some coinversion identities related to Macdonald polynomials
复制标题
与麦克唐纳多项式相关的一些货币兑换恒等式的双射证明
DOI：
--
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
N. Loehr
中科院分区：
文献类型：
--
作者：
N. Loehr
.本文给出了Ayyer，Mandelshtam和Martin [1]在证明修正的艾德Macdonald多项式的一个新组合公式时发现的一些新的余反演恒等式的双射证明.这些作者使用了q -二项式系数的复杂代数操作来证明这些恒等式，这意味着在证明他们的公式萨蒂斯表征π H μ的公理时需要某些双射的存在。他们提出了明确构造这种双射的公开问题。我们在这里解决这个问题。
. This paper gives bijective proofs of some novel coinversion identities first discovered by Ayyer, Mandelshtam, and Martin [1] as part of their proof of a new combinatorial formula for the modified Macdonald polynomials ˜ H µ . Those authors used intricate algebraic manipulations of q -binomial coefficients to prove these identities, which imply the existence of certain bijections needed in their proof that their formula satisfies the axioms characterizing ˜ H µ . They posed the open problem of constructing such bijections explicitly. We resolve that problem here.
修正麦克唐纳多项式和多物种零范围过程：I
影响因子：
--
作者：
Ayyer, Arvind;Mandelshtam, Olya;Martin, James B
通讯作者：
Martin, James B