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
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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.
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页码:793 / 796
页数:3
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