Plane Partitions and Their Pedestal Polynomials

被引：0

作者：

O. V. Ogievetsky

S. B. Shlosman

机构：

[1] Aix Marseille Université,Lebedev Physical Institute

[2] CNRS,Kharkevich Institute for Information Transmission Problems

[3] CPT UMR 7332,undefined

[4] Kazan Federal University,undefined

[5] Russian Academy of Sciences,undefined

[6] Russian Academy of Sciences,undefined

[7] Skolkovo Institute of Science and Technology,undefined

来源：

Mathematical Notes | 2018年 / 103卷

关键词：

Young diagram; hook polynomial; Schur functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a linear extension P of a partially ordered set S, we consider a generating multivariate polynomial of certain reverse partitions on S, called P-pedestals. We establish a remarkable property of this polynomial: it does not depend on the choice of P. For S a Young diagram, we show that this polynomial generalizes the hook polynomial.

引用

页码：793 / 796

页数：3