On the classification of lattices over \(\mathbb Q(\sqrt{-3})\) which are even unimodular \(\mathbb Z\)-lattices of rank 32

DOI10.1155/2013/837080zbMath1367.11042OpenAlexW2029890711WikidataQ58989332 ScholiaQ58989332MaRDI QIDQ1950025

Gabriele Nebe, Andreas Henn, Michael Hentschel, Aloys Krieg

Publication date: 23 May 2013

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/837080

zbMATH Keywords

mass formulaHermitian latticeeven unimodular latticeautomorphism of a latticeEisenstein latticeKneser's neighbor method

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Class numbers of quadratic and Hermitian forms (11E41) Automorphism groups of lattices (11H56)

Cites Work

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• On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices
• Even unimodular Gaussian lattices of rank 12
• Classification of Hermitian forms with the neighbour method
• Applications of coding theory to the construction of modular lattices
• ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE
• Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order
• A mass formula for unimodular lattices with no roots
• Réseaux unimodulaires quaternioniens en dimension ≤ 32

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