Classification of eight dimensional perfect forms
Number Theory
2019-11-07 v3
Abstract
In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here we describe algorithms making the classification possible.
Keywords
Cite
@article{arxiv.math/0609388,
title = {Classification of eight dimensional perfect forms},
author = {Mathieu Dutour Sikiric and Achill Schuermann and Frank Vallentin},
journal= {arXiv preprint arXiv:math/0609388},
year = {2019}
}
Comments
14 pages