Plancherel平均值：对Stanley论文的评论
Plancherel averages: Remarks on a paper by Stanley
摘要：
设M_n表示Y_n上的Plancherel测度，Y_n是具有n个盒的Young图的集合. Stanley（arXiv：0807.0383）最近的一个结果表明，对于定义在所有Young图的集合Y上的某些函数G，G关于M_n的平均多项式依赖于n.我们提出了另外两个证明这一结果连同推广到杰克变形的Plancherel措施。
英文摘要：
Let M_n stand for the Plancherel measure on Y_n, the set of Young diagrams with n boxes. A recent result of Stanley (arXiv:0807.0383) says that for certain functions G defined on the set Y of all Young diagrams, the average of G with respect to M_n depends on n polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel measure.
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。
