关于Weingarten函数的一个注记
A note on the Weingarten function
摘要：
本说明的目的是比较工作的Formanek \cite{formanek2}的一定建设的中心多项式与柯林斯\cite{Coll}的一体化酉群。这两个相当不相交的主题共享对称群上相同函数的构造，第二作者称之为{ \em Weingarten函数}。通过结合这两种方法，我们成功地给出了一个简化和{ \em非常自然}的介绍Formanek和柯林斯的理论。
英文摘要：
The aim of this note is to compare work of Formanek \cite{formanek2} on a certain construction of central polynomials with that of Collins \cite{Coll} on integration on unitary groups. These two quite disjoint topics share the construction of the same function on the symmetric group, which the second author calls {\em Weingarten function}. By joining these two approaches we succeed in giving a simplified and {\em very natural} presentation of both Formanek and Collins's Theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
