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

Andreas Henn; Michael Hentschel; Aloys Krieg; Gabriele Nebe

doi:10.1155/2013/837080

International Journal of Mathematics and Mathematical Sciences (Jan 2013)

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

Andreas Henn,
Michael Hentschel,
Aloys Krieg,
Gabriele Nebe

Affiliations

Andreas Henn: Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany
Michael Hentschel: Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany
Aloys Krieg: Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany
Gabriele Nebe: Lehrstuhl A für Mathematik, RWTH Aachen University, 52056 Aachen, Germany

DOI: https://doi.org/10.1155/2013/837080
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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