与关系模块相关联的多面体面

IF 0.8 4区数学 Q2 MATHEMATICS Arkiv for Matematik Pub Date : 2021-07-13 DOI:10.4310/arkiv.2022.v60.n2.a3

Germán Benitez, Luis Enrique Ram'irez

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引用次数: 0

摘要

关系Gelfand-Tsetlin gln模块在[FRZ19]中被引入，它由一些特殊的有向图和Gelfand-Tsetlin字符决定。在本工作中，我们构造了与关系模块类相关的多面体，其中包括作为特殊情况的任何经典Gelfand - Tsetlin多面体。根据[LM04]中提出的思想，我们用与相应图相关的矩阵给出了相关多面体的d面表征。

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Faces of polyhedra associated with relation modules

Relation Gelfand–Tsetlin gln-modules were introduced in [FRZ19], and are determined by some special directed graphs and Gelfand-Tsetlin characters. In this work we constructed polyhedra associated with the class of relation modules, which includes as a particular case, any classical Gelfand– Tsetlin polytope. Following the ideas presented in [LM04] we give a characterization of d-faces of the associated polyhedra in terms of a matrix related to the corresponding graph.

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