English

Coincidences of Hypercubic Lattices in 4 dimensions

Metric Geometry 2007-05-23 v1

Abstract

We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index Σ\Sigma and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given Σ\Sigma. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.

Keywords

Cite

@article{arxiv.math/0605526,
  title  = {Coincidences of Hypercubic Lattices in 4 dimensions},
  author = {Peter Zeiner},
  journal= {arXiv preprint arXiv:math/0605526},
  year   = {2007}
}

Comments

13 pages, 8 tables