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

共 50 条

[41] Equivariant cohomology of the Bott towers and equivariant Schubert calculus
Willems, M
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2006, 5 (01) : 125 - 159
[42] Improved Bounds for Online Learning Over the Permutahedron and Other Ranking Polytopes
Ailon, Nir
ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 33, 2014, 33 : 29 - 37
[43] Equivariant Freudenthal theorem and equivariant n-movability
Gevorkian, PS
RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (01) : 156 - 157
[44] The unstable equivariant fixed point index and the equivariant degree
Marzantowicz, W
Prieto, C
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2004, 69 : 214 - 230
[45] Equivariant covering type and the number of vertices in equivariant triangulations
Govc, Dejan
Marzantowicz, Waclaw
Pavesic, Petar
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2024,
[46] Equivariant spectral flow and equivariant η-invariants on manifolds with boundary
Lim, Johnny
Wang, Hang
INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (04)
[47] Equivariant higher analytic torsion and equivariant Euler characteristic
Bunke, U
AMERICAN JOURNAL OF MATHEMATICS, 2000, 122 (02) : 377 - 401
[48] A characterization of equivariant absolute extensors and the equivariant Dugundji theorem
Antonyan, SA
HOUSTON JOURNAL OF MATHEMATICS, 2005, 31 (02): : 451 - 462
[49] Signal Processing on the Permutahedron: Tight Spectral Frames for Ranked Data Analysis
Yilin Chen
Jennifer DeJong
Tom Halverson
David I Shuman
Journal of Fourier Analysis and Applications, 2021, 27
[50] Equivariant corks
Auckly, Dave
Kim, Hee Jung
Melvin, Paul
Ruberman, Daniel
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017, 17 (03): : 1771 - 1783

← 1 2 3 4 5 →