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Even Unimodular Gaussian Lattices of Rank 12

✍ Scribed by Masaaki Kitazume; Akihiro Munemasa

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 178 KB
Volume: 95
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2749

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✦ Synopsis

We classify even unimodular Gaussian lattices of rank 12, that is, even unimodular integral lattices of rank 12 over the ring of Gaussian integers. This is equivalent to the classification of the automorphisms t with t 2 ¼ À1 in the automorphism groups of all the Niemeier lattices, which are even unimodular (real) integral lattices of rank 24. There are 28 even unimodular Gaussian lattices of rank 12 up to equivalence.

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