Growth series and Ehrhart polynomials associated to root lattices

被引：6
|
作者：
Bacher, R
De la Harpe, P
Venkov, B
机构：
[1] Univ Grenoble 1, F-38402 St Martin Dheres, France
[2] Univ Geneva, Sect Math, CH-1211 Geneva 24, Switzerland
[3] VA Steklov Math Inst, St Petersbourgs Dept, St Petersburg 191011, Russia
来源：
ANNALES DE L INSTITUT FOURIER | 1999年 / 49卷 / 03期
关键词：
D O I：
10.5802/aif.1689
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a root system R in one of the families A, B, C, D, F, G and the free abelian group that it generates, we compute explicitly the growth series of this group with respect to R. The results can be interpreted in terms of the Ehrhart polynomial of the convex hull of R.
引用
收藏
页码：727 / +
页数：37
相关论文
共 50 条
  • [21] On Ehrhart Polynomials of Lattice Triangles
    Hofscheier, Johannes
    Nill, Benjamin
    Oberg, Dennis
    ELECTRONIC JOURNAL OF COMBINATORICS, 2018, 25 (01):
  • [22] Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials
    Antoine Douai
    Journal of Algebraic Combinatorics, 2021, 54 : 719 - 732
  • [23] Ehrhart polynomials and stringy Betti numbers
    Mircea Mustaţa
    Sam Payne
    Mathematische Annalen, 2005, 333 : 787 - 795
  • [24] Ehrhart polynomials and stringy Betti numbers
    Mustata, M
    Payne, S
    MATHEMATISCHE ANNALEN, 2005, 333 (04) : 787 - 795
  • [25] Counterexamples of the Conjecture on Roots of Ehrhart Polynomials
    Higashitani, Akihiro
    DISCRETE & COMPUTATIONAL GEOMETRY, 2012, 47 (03) : 618 - 623
  • [26] Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials
    Douai, Antoine
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 54 (03) : 719 - 732
  • [27] Volumes and Ehrhart polynomials of flow polytopes
    Karola Mészáros
    Alejandro H. Morales
    Mathematische Zeitschrift, 2019, 293 : 1369 - 1401
  • [28] Interlacing Ehrhart polynomials of reflexive polytopes
    Higashitani, Akihiro
    Kummer, Mario
    Michalek, Mateusz
    SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (04): : 2977 - 2998
  • [29] Lower bounds on the coefficients of Ehrhart polynomials
    Henk, Martin
    Tagami, Makoto
    EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (01) : 70 - 83
  • [30] Ehrhart Polynomials of Matroid Polytopes and Polymatroids
    Jesús A. De Loera
    David C. Haws
    Matthias Köppe
    Discrete & Computational Geometry, 2009, 42 : 670 - 702
12345