关于Gelfand–Zetlin多面体的面数

IF 0.7 4区数学 Q2 MATHEMATICS St Petersburg Mathematical Journal Pub Date : 2022-05-05 DOI:10.1090/spmj/1714

E. Melikhova

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引用次数: 0

摘要

研究了Gelfand–Zetlin多面体的组合数学。利用该多面体在立方体上的线性投影的几何性质，导出了该多面体的f-多项式的递推关系。该递推关系用于寻找最简单类型的Gelfand–Zetlin多面体的单参数族的f-多项式和h-多项式。

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On the number of faces of the Gelfand–Zetlin polytope

The combinatorics of the Gelfand–Zetlin polytope is studied. Geometric properties of a linear projection of this polytope onto a cube are employed to derive a recurrence relation for the f f -polynomial of the polytope. This recurrence relation is applied to finding the f f -polynomials and h h -polynomials for one-parameter families of Gelfand–Zetlin polytopes of simplest types.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

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