Growth series and Ehrhart polynomials associated to root lattices

被引：7
|
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.
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页码：727 / +
页数：37
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