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 language | English |
|---|---|
| Pages (from-to) | 77-94 |
| Number of pages | 18 |
| Journal | Journal of Number Theory |
| Volume | 95 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 |
Keywords
- Automorphism group
- Hermitian form
- Niemeier lattice
- Root system
- Weyl group