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Coincidence rotations of the root lattice A4

Baake, Michael; Grimm, Uwe; Heuer, Manuela and Zeiner, Peter (2008). Coincidence rotations of the root lattice A4. European Journal of Combinatorics, 29(8) pp. 1808–1819.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.ejc.2008.01.012
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Abstract

The coincidence site lattices of the root lattice A4 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 A4 into the icosian ring with its rich arithmetic structure, which recently led to the classification of the similar sublattices of A4.

Item Type: Journal Article
Copyright Holders: 2008 Michael Baake
ISSN: 0195-6698
Project Funding Details:
Funded Project NameProject IDFunding Body
Combinatorics of Sequences and Tilings and its ApplicationsEP/D058465/1EPSRC (Engineering and Physical Sciences Research Council)
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 12112
Depositing User: Uwe Grimm
Date Deposited: 22 Oct 2008 09:41
Last Modified: 26 Mar 2014 05:43
URI: http://oro.open.ac.uk/id/eprint/12112
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