Bases of minimal vectors in lattices, III
Number Theory
2014-06-23 v2 Metric Geometry
Abstract
We prove that all Euclidean lattices of dimension which are generated by their minimal vectors, also possess a basis of minimal vectors. By providing a new counterexample, we show that this is not the case for all dimensions .
Keywords
Cite
@article{arxiv.1105.5889,
title = {Bases of minimal vectors in lattices, III},
author = {Jacques Martinet and Achill Schürmann},
journal= {arXiv preprint arXiv:1105.5889},
year = {2014}
}
Comments
16 pages, contains minor changes suggested by referee