27 citations · 100 across the 47 of their papers we have counts for
5 papers · 1 filter
On automorphisms of extremal even unimodular lattices of dimension 48
Gabriele Nebe
The automorphism groups of the three known extremal even unimodular lattices of dimension 48 and the one of dimension 72 are computed using the classification of finite simple grou…
Golden lattices
Gabriele Nebe
Let be the golden ratio. A golden lattice is an even unimodular -lattice of which the Hilbert theta series is an extremal Hilbe…
Boris Venkov's Theory of Lattices and Spherical Designs
Gabriele Nebe
Boris Venkov passed away on November 10 2011 just 5 days before his 77th birthday. This article gives a short survey of the mathematical work of Boris Venkov in this direction.
The unreasonable effectiveness of the tensor product
Renaud Coulangeon, Gabriele Nebe
Using the Hermitian tensor product description of the extremal even unimodular lattice of dimension 72 found by Nebe in 2010 we show its extremality with the methods from Coulangeo…
On tight spherical designs
Gabriele Nebe, Boris Venkov
Let X be a tight t-design of dimension n for one of the open cases t=5 or t=7. An investigation of the lattice generated by X using arithmetic theory of quadratic forms allows to e…