论文标题
Theta运营商的新身份
New identities for Theta operators
论文作者
论文摘要
在本文中，我们证明了一种新的一般身份，其中涉及第一作者及其合作者在[D'D'D'D'D'D'D'D'D'D'Iraci，Vanden Wyngaerd 2020]中引入的Theta运营商。从这个结果，我们可以轻松地推断出在麦当劳多项式和对角线共同体的研究中具有组合后果的几种新身份。特别是，我们提供了一个统一的框架，我们从文献中恢复了许多散布的身份，通常会导致较短的证据。
In this article, we prove a new general identity involving the Theta operators introduced by the first author and his collaborators in [D'Adderio, Iraci, Vanden Wyngaerd 2020]. From this result, we can easily deduce several new identities that have combinatorial consequences in the study of Macdonald polynomials and diagonal coinvariants. In particular, we provide a unifying framework from which we recover many identities scattered in the literature, often resulting in drastically shorter proofs.
