Coincidence rotations of the root lattice $A_4$
Metric Geometry
2008-10-22 v1 Combinatorics
Abstract
The coincidence site lattices of the root lattice 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 into the icosian ring with its rich arithmetic structure, which recently (arXiv:math.MG/0702448) led to the classification of the similar sublattices of .
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Cite
@article{arxiv.0709.1341,
title = {Coincidence rotations of the root lattice $A_4$},
author = {Michael Baake and Uwe Grimm and Manuela Heuer and Peter Zeiner},
journal= {arXiv preprint arXiv:0709.1341},
year = {2008}
}
Comments
13 pages, 1 figure