论文标题
Weingarten功能的注释
A note on the Weingarten function
论文作者
论文摘要
本说明的目的是比较formanek \ cite {formanek2}对中央多项式的某种构造与柯林斯\ cite {coll}在单一组集成上的工作。 这两个完全不相交的主题在对称组上共享相同函数的构建,第二作者称之为{\ em weingarten函数}。 通过加入这两种方法,我们成功地给出了简化的{\ em非常自然}的介绍,呈现了Formanek和Collins的理论。
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.