International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 837080, 4 pages
http://dx.doi.org/10.1155/2013/837080
Research Article

On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32

Andreas Henn, Michael Hentschel, Aloys Krieg, and Gabriele Nebe

Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany

Received 13 November 2012; Accepted 28 January 2013

Academic Editor: Frank Werner

Copyright © 2013 Andreas Henn et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices (of dimension 32). There are exactly 80 unitary isometry classes.