Coincidence rotations of the root lattice A4

被引：14

作者：

Baake, Michael ^{[1
]}

Grimm, Uwe ^{[2
]}

Heuer, Manuela ^{[2
]}

Zeiner, Peter ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Open Univ, Dept Math, Milton Keynes MK7 6AA, Bucks, England

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/j.ejc.2008.01.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The coincidence site lattices of the root lattice A(4) are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A(4) into the icosian ring with its rich arithmetic structure, which recently [M Baake, M. Heuer, R.V. Moody, Similar sublattices of the root lattice A(4), preprint arXiv:math.MG/0702448] led to the classification of the similar sublattices of A(4). (C) 2008 Michael Baake. Published by Elsevier Ltd. All rights reserved.

引用

页码：1808 / 1819

页数：12

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