The Equivariant Volumes of the Permutahedron

被引：2

作者：

Ardila, Federico ^{[1
,2
]}

Schindler, Anna ^{[1
,3
]}

Vindas-Melendez, Andres R. ^{[1
,4
]}

机构：

[1] San Francisco State Univ, San Francisco, CA 94132 USA

[2] Univ Andes, Bogota, Colombia

[3] North Seattle Coll, Seattle, WA USA

[4] Univ Kentucky, Lexington, KY USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2021年 / 65卷 / 03期

关键词：

D O I：

10.1007/s00454-019-00146-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove that if s is a permutation of Sn with m cycles of lengths l1,..., lm, the subset of the permutahedron n fixed by the natural action of s is a polytope with volume nm-2 gcd(l1,..., l(m)).

引用

页码：618 / 635

页数：18

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