THE EQUIVARIANT EHRHART THEORY OF THE PERMUTAHEDRON

被引:2
作者
Ardila, Federico [1 ,2 ]
Supina, Mariel [3 ]
Vindas-Melendez, Andres R. [1 ,4 ]
机构
[1] San Francisco State Univ, Dept Math, 1600 Holloway Ave, San Francisco, CA 94132 USA
[2] Univ Los Andes, Dept Math, Bogota, Colombia
[3] Univ Calif Berkeley, Dept Math, 970 Evans Hall, Berkeley, CA 94720 USA
[4] Univ Kentucky, Dept Math, 719 Patterson Off Tower, Lexington, KY 40506 USA
关键词
COHOMOLOGY; REPRESENTATIONS;
D O I
10.1090/proc/15113
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory of the permutahedron, and we prove his Effectiveness Conjecture in this special case.
引用
收藏
页码:5091 / 5107
页数:17
相关论文
共 22 条
  • [1] [Anonymous], 1991, APPL GEOMETRY DISCRE
  • [2] [Anonymous], 2014, THESIS
  • [3] Ardila Federico, 2019, DISCRETE COMPUT GEOM, P1
  • [4] Ardila Federico, REV ACAD COLOMBIANA
  • [5] KOSTANT PARTITIONS FUNCTIONS AND FLOW POLYTOPES
    Baldoni, Welleda
    Vergne, Michele
    [J]. TRANSFORMATION GROUPS, 2008, 13 (3-4) : 447 - 469
  • [6] Beck M., 2007, Undergraduate Texts in Mathematics
  • [7] Cox David A., 2011, Graduate Studies in Mathematics, V124, DOI DOI 10.1090/GSM/124
  • [8] A CHARACTER FORMULA FOR THE REPRESENTATION OF A WEYL GROUP IN THE COHOMOLOGY OF THE ASSOCIATED TORIC VARIETY
    DOLGACHEV, I
    LUNTS, V
    [J]. JOURNAL OF ALGEBRA, 1994, 168 (03) : 741 - 772
  • [9] EHRHART E, 1962, CR HEBD ACAD SCI, V254, P616
  • [10] Fulton W., 1993, Annals of mathematics studies, DOI DOI 10.1515/9781400882526