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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
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.