A fourth extremal even unimodular lattice of dimension 48
Number Theory
2014-01-03 v2
Abstract
We show that there is a unique extremal even unimodular lattice of dimension 48 which has an automorphism of order 5 of type 5-(8,16)-8. Since the three known extremal lattices do not admit such an automorphism, this provides a new example of an extremal even unimodular lattice in dimension 48.
Keywords
Cite
@article{arxiv.1312.3780,
title = {A fourth extremal even unimodular lattice of dimension 48},
author = {Gabriele Nebe},
journal= {arXiv preprint arXiv:1312.3780},
year = {2014}
}