Even unimodular Gaussian lattices of rank 12

Masaaki Kitazume, Akihiro Munemasa

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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 τ with τ2=-1 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.

Original languageEnglish
Pages (from-to)77-94
Number of pages18
JournalJournal of Number Theory
Volume95
Issue number1
DOIs
Publication statusPublished - 2002
Externally publishedYes

Keywords

  • Automorphism group
  • Hermitian form
  • Niemeier lattice
  • Root system
  • Weyl group

ASJC Scopus subject areas

  • Algebra and Number Theory

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