Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter Matroids

被引：5

作者：

Caselli, Fabrizio ^{[1
]}

D'Adderio, Michele ^{[2
]}

Marietti, Mario ^{[3
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

[2] Univ Libre Bruxelles ULB, Dept Math, Blvd Triomphe, B-1050 Brussels, Belgium

[3] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche, I-60131 Ancona, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 03期

关键词：

D O I：

10.1093/imrn/rnaa124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a weaker version of the generalized lifting property that holds in complete generality for all Coxeter groups, and we use it to show that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter matroid. We also describe some combinatorial properties of the associated polytopes.

引用

收藏

页码：1678 / 1698

页数：21

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