%0 Journal Article
%T An even unimodular 72-dimensional lattice of minimum 8
%A Gabriele Nebe
%J Mathematics
%D 2010
%I arXiv
%X An even unimodular 72-dimensional lattice $\Gamma $ having minimum 8 is constructed as a tensor product of the Barnes lattice and the Leech lattice over the ring of integers in the imaginary quadratic number field with discriminant $-7$. The automorphism group of $\Gamma $ contains the absolutely irreducible rational matrix group $(\PSL_2(7) \times \SL _2(25)) : 2$.
%U http://arxiv.org/abs/1008.2862v3