|Office:||Pontdriesch 14/16, room 117|
Lehrstuhl D für Mathematik
Together with Neil J. A. Sloane we are building a database of interesting lattices
On august 11 2010 I found an
extremal even unimodular lattice of dimension 72.
A new version of the paper can be downloaded
In the paper On Siegel modular forms of weight 12 ( pdf-file) with B. Venkov,
we calculate the action of some Hecke operators on the space generated by the 24 Niemeier lattices.
You get the Hecke operators and the eigenforms in maple format if you click here.
The structure constants for the multiplication of the eigenforms are in the big maple-file multiplication.
The absolutely irreducible maximal finite subgroups of GL(n,D)
for definite quaternion algebras D of dimension less than 40/n over the rationals
are classified in my paper Finite quaternionic matrix groups. ( pdf-file of a preprint)
You find invariant Hermitian lattices for the about 300 primitive groups in 93 magma-readable files if you click here.