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

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

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.

Bibliographic Details
Main Authors: Andreas Henn, Michael Hentschel, Aloys Krieg, Gabriele Nebe
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/837080
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spelling doaj-c9503845aa3643fea57b8e0c81647cf92020-11-24T21:28:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/837080837080On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32Andreas Henn0Michael Hentschel1Aloys Krieg2Gabriele Nebe3Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, GermanyLehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, GermanyLehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, GermanyLehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, GermanyWe 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.http://dx.doi.org/10.1155/2013/837080
collection DOAJ
language English
format Article
sources DOAJ
author Andreas Henn
Michael Hentschel
Aloys Krieg
Gabriele Nebe
spellingShingle Andreas Henn
Michael Hentschel
Aloys Krieg
Gabriele Nebe
On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
International Journal of Mathematics and Mathematical Sciences
author_facet Andreas Henn
Michael Hentschel
Aloys Krieg
Gabriele Nebe
author_sort Andreas Henn
title On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
title_short On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
title_full On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
title_fullStr On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
title_full_unstemmed On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32
title_sort on the classification of lattices over which are even unimodular -lattices of rank 32
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/837080
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AT michaelhentschel ontheclassificationoflatticesoverwhichareevenunimodularlatticesofrank32
AT aloyskrieg ontheclassificationoflatticesoverwhichareevenunimodularlatticesofrank32
AT gabrielenebe ontheclassificationoflatticesoverwhichareevenunimodularlatticesofrank32
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