Coincidence rotations of the root lattice $A_4$

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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 (arXiv:math.MG/0702448) led to the classification of the similar sublattices of $A_4$.
13 pages, 1 figure

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Metric Geometry, Combinatorics, 52C07; 11R52; 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/171997

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1341
 http://arxiv.org/abs/0709.1341
 European Journal of Combinatorics 29 (2008) 1808-1819
 doi:10.1016/j.ejc.2008.01.012

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arXiv